Pith Number

pith:JPAMG4Z3

pith:2011:JPAMG4Z3AMDB4QI4FM2UPMCEUA

not attested not anchored not stored refs pending

BPS invariants of semi-stable sheaves on rational surfaces

Jan Manschot

arxiv:1109.4861 v3 · 2011-09-22 · math-ph · hep-th · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPAMG4Z3AMDB4QI4FM2UPMCEUA}

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

1 paper in Pith

BPS Dendroscopy on Local $\mathbb{P}^1\times \mathbb{P}^1$

Receipt and verification

First computed	2026-05-18T03:21:32.008655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc0c3733b03061e411c2b3547b044a00893ae325c7b3703b6cc1d37ef3f9ce9

Aliases

arxiv: 1109.4861 · arxiv_version: 1109.4861v3 · doi: 10.48550/arxiv.1109.4861 · pith_short_12: JPAMG4Z3AMDB · pith_short_16: JPAMG4Z3AMDB4QI4 · pith_short_8: JPAMG4Z3

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/JPAMG4Z3AMDB4QI4FM2UPMCEUA \
  | 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: 4bc0c3733b03061e411c2b3547b044a00893ae325c7b3703b6cc1d37ef3f9ce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24d9c1403871d7a889abb089951292e34f65ddeffa3d535e43a0f76a2745c41",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-22T16:04:33Z",
    "title_canon_sha256": "442acb4f913cf2fac8f850357ce8facec8d3691e9c78ce014c7c0e13d6e0821c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4861",
    "kind": "arxiv",
    "version": 3
  }
}