Pith Number

pith:QX2DFSIC

pith:2024:QX2DFSICCXQBVP7XWEODDYVLVJ

not attested not anchored not stored refs pending

Foam cobordism and the Sah-Arnoux-Fathi invariant

Mee Seong Im, Mikhail Khovanov

arxiv:2403.06030 v1 · 2024-03-09 · math.GT · math.DS · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QX2DFSICCXQBVP7XWEODDYVLVJ}

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

1 paper in Pith

Diagrammatics of information

Receipt and verification

First computed	2026-07-05T07:54:17.048324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f432c90215e01abff7b11c31e2abaa7b4836cf0e9616b47d9c12da99cbd7de

Aliases

arxiv: 2403.06030 · arxiv_version: 2403.06030v1 · doi: 10.48550/arxiv.2403.06030 · pith_short_12: QX2DFSICCXQB · pith_short_16: QX2DFSICCXQBVP7X · pith_short_8: QX2DFSIC

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/QX2DFSICCXQBVP7XWEODDYVLVJ \
  | 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: 85f432c90215e01abff7b11c31e2abaa7b4836cf0e9616b47d9c12da99cbd7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c90756d2c51a4dab8e44b26fb59c1ef540a484d9f66f151aef767a3a897a9a",
    "cross_cats_sorted": [
      "math.DS",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-03-09T22:34:24Z",
    "title_canon_sha256": "6a34374e7f64354ca768c586f58a9bdc6aaa6c9f22e3c4e60362a51f93255e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.06030",
    "kind": "arxiv",
    "version": 1
  }
}