Pith Number

pith:CP4PXFE2

pith:2024:CP4PXFE2I24DMTT4IQNH4Y5VTD

not attested not anchored not stored refs pending

Degenerate and irregular topological recursion

Alexander Alexandrov, Boris Bychkov, Maxim Kazarian, Petr Dunin-Barkowski, Sergey Shadrin

arxiv:2408.02608 v3 · 2024-08-05 · math-ph · hep-th · math.AG · math.CO · 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{CP4PXFE2I24DMTT4IQNH4Y5VTD}

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	2026-07-05T11:01:25.909357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f8fb949a46b8364e7c441a7e63b598f3c14faa038bcf8394ccf57cb5f7d15d

Aliases

arxiv: 2408.02608 · arxiv_version: 2408.02608v3 · doi: 10.48550/arxiv.2408.02608 · pith_short_12: CP4PXFE2I24D · pith_short_16: CP4PXFE2I24DMTT4 · pith_short_8: CP4PXFE2

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/CP4PXFE2I24DMTT4IQNH4Y5VTD \
  | 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: 13f8fb949a46b8364e7c441a7e63b598f3c14faa038bcf8394ccf57cb5f7d15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776277b2c5281a02527b295dcb68b250cde90ec6846efee6a5cf865b53815934",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-08-05T16:33:29Z",
    "title_canon_sha256": "075c3a9544bf0f35ee1e02ccf8ff1e47c6ce88ca9cddc35e5a1f7c0b79567c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02608",
    "kind": "arxiv",
    "version": 3
  }
}