Pith Number

pith:3L4JUL3A

pith:2013:3L4JUL3ARD5GKQDDYFW3DTE2SF

not attested not anchored not stored refs pending

Spectral networks and Fenchel-Nielsen coordinates

Andrew Neitzke, Lotte Hollands

arxiv:1312.2979 v2 · 2013-12-10 · math.GT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3L4JUL3ARD5GKQDDYFW3DTE2SF}

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

2 papers in Pith

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

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

Receipt and verification

First computed	2026-05-18T01:15:24.199584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf89a2f6088fa654063c16db1cc9a916bfdc3b305f4afedb86c4b99f75c8812

Aliases

arxiv: 1312.2979 · arxiv_version: 1312.2979v2 · doi: 10.48550/arxiv.1312.2979 · pith_short_12: 3L4JUL3ARD5G · pith_short_16: 3L4JUL3ARD5GKQDD · pith_short_8: 3L4JUL3A

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/3L4JUL3ARD5GKQDDYFW3DTE2SF \
  | 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: daf89a2f6088fa654063c16db1cc9a916bfdc3b305f4afedb86c4b99f75c8812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d3423ea99125e2a27e3a6a445b4c40dccbc8b4a8c1300e5987a163ca023e560",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-10T22:04:57Z",
    "title_canon_sha256": "1f079c908b1fd9a06dec197ef7b3fbe8d48b1b78d14b97b5354c4af2ef76fce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2979",
    "kind": "arxiv",
    "version": 2
  }
}