Pith Number

pith:FWVD3RRN

pith:2022:FWVD3RRNO3VHZV3M7S24TW2UD2

not attested not anchored not stored refs pending

From integrals to combinatorial formulas of finite type invariants -- a case study

Rafal Komendarczyk, Robyn Brooks

arxiv:2212.12792 v2 · 2022-12-24 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWVD3RRNO3VHZV3M7S24TW2UD2}

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	2026-07-05T08:53:14.502336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2daa3dc62d76ea7cd76cfcb5c9db541e8b51834a5846ca03324fbf6a4a98ffca

Aliases

arxiv: 2212.12792 · arxiv_version: 2212.12792v2 · doi: 10.48550/arxiv.2212.12792 · pith_short_12: FWVD3RRNO3VH · pith_short_16: FWVD3RRNO3VHZV3M · pith_short_8: FWVD3RRN

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/FWVD3RRNO3VHZV3M7S24TW2UD2 \
  | 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: 2daa3dc62d76ea7cd76cfcb5c9db541e8b51834a5846ca03324fbf6a4a98ffca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ec5a7410867fe705c3d1898829d7eaeeae637c34d02c5e31f7f27ad7ba8667",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-12-24T18:13:46Z",
    "title_canon_sha256": "e922b0f63fc938f4b9e15673b707bc0915550278e0b74ee0e802540548f75a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12792",
    "kind": "arxiv",
    "version": 2
  }
}