Pith Number

pith:RPWT6GBA

pith:2012:RPWT6GBAI7HQLU4AXXYQQAGNWS

not attested not anchored not stored refs pending

Critical points of master functions and integrable hierarchies

Alexander Varchenko, Daniel Wright

arxiv:1207.2274 v7 · 2012-07-10 · math.AG · math.CO · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPWT6GBAI7HQLU4AXXYQQAGNWS}

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.

Receipt and verification

First computed	2026-05-18T00:09:37.090618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bed3f182047cf05d380bdf10800cdb49529a22808c740d632df4078faaf714f

Aliases

arxiv: 1207.2274 · arxiv_version: 1207.2274v7 · doi: 10.48550/arxiv.1207.2274 · pith_short_12: RPWT6GBAI7HQ · pith_short_16: RPWT6GBAI7HQLU4A · pith_short_8: RPWT6GBA

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/RPWT6GBAI7HQLU4AXXYQQAGNWS \
  | 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: 8bed3f182047cf05d380bdf10800cdb49529a22808c740d632df4078faaf714f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8536cb0f38d186d5cd9f31ffa1e07b48824acfa5c7c97bca7d6ba1352cc60a88",
    "cross_cats_sorted": [
      "math.CO",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-10T09:29:16Z",
    "title_canon_sha256": "19e763aab0ec54056c534093468192bdeba20a7f616ef39643ac2a128ad63301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2274",
    "kind": "arxiv",
    "version": 7
  }
}