Pith Number

pith:LV6KZ6PI

pith:2009:LV6KZ6PIEMKMPS4OV7HBC4NBN2

not attested not anchored not stored refs pending

Wall-crossing, Hitchin Systems, and the WKB Approximation

Andrew Neitzke, Davide Gaiotto, Gregory W. Moore

arxiv:0907.3987 v2 · 2009-07-23 · hep-th · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LV6KZ6PIEMKMPS4OV7HBC4NBN2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

15 papers in Pith

Central Charges and Vacuum Moduli of 2d $\mathcal{N}=(0,4)$ Theories from Class $\mathcal{S}$

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

Global symmetries: locality, unitarity, and regularity

Receipt and verification

First computed	2026-05-18T04:12:32.531359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d7cacf9e82314c7cb8eafce1171a16e947d76b5901db1db3bb297208a017a10

Aliases

arxiv: 0907.3987 · arxiv_version: 0907.3987v2 · doi: 10.48550/arxiv.0907.3987 · pith_short_12: LV6KZ6PIEMKM · pith_short_16: LV6KZ6PIEMKMPS4O · pith_short_8: LV6KZ6PI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LV6KZ6PIEMKMPS4OV7HBC4NBN2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5d7cacf9e82314c7cb8eafce1171a16e947d76b5901db1db3bb297208a017a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d75dd34692ff0fbae195705df661153e14beb9ce0ffb580baf4f5278d460b991",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-07-23T05:54:29Z",
    "title_canon_sha256": "3ecf4dd34ec6b1778379b9ffe93e4f2b9ef4da44c3bf3c6633a45acdbde46d08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3987",
    "kind": "arxiv",
    "version": 2
  }
}