Pith Number

pith:VVBNLBT3

pith:2023:VVBNLBT3TCUEJKAYV2MKCDVLBT

not attested not anchored not stored refs pending

Log topological recursion through the prism of $x-y$ swap

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

arxiv:2312.16950 v3 · 2023-12-28 · 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{VVBNLBT3TCUEJKAYV2MKCDVLBT}

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	2026-07-05T10:02:42.931311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad42d5867b98a844a818ae98a10eab0cc0abbe1455eea1348dc3d9b3668dc36f

Aliases

arxiv: 2312.16950 · arxiv_version: 2312.16950v3 · doi: 10.48550/arxiv.2312.16950 · pith_short_12: VVBNLBT3TCUE · pith_short_16: VVBNLBT3TCUEJKAY · pith_short_8: VVBNLBT3

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/VVBNLBT3TCUEJKAYV2MKCDVLBT \
  | 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: ad42d5867b98a844a818ae98a10eab0cc0abbe1455eea1348dc3d9b3668dc36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1130c4377ec55b007d20f41c18e479322a4fe1ca6a9274bbbb687492f9d6bcf5",
    "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": "2023-12-28T10:47:55Z",
    "title_canon_sha256": "051d43018f262e970888bb1220483170de3725621a64d39fca5f4d2982d01c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.16950",
    "kind": "arxiv",
    "version": 3
  }
}