Pith Number

pith:TJFSSNV7

pith:2012:TJFSSNV7HBEZXVWYMIJQSOITOJ

not attested not anchored not stored refs pending

A_infinity-morphisms with several entries

Volodymyr Lyubashenko

arxiv:1205.6072 v1 · 2012-05-28 · math.CT · math.AT · 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{TJFSSNV7HBEZXVWYMIJQSOITOJ}

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	2026-05-18T01:25:56.020397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4b2936bf38499bd6d862130939137268e5967c723c1f937cedc16ade3de269

Aliases

arxiv: 1205.6072 · arxiv_version: 1205.6072v1 · doi: 10.48550/arxiv.1205.6072 · pith_short_12: TJFSSNV7HBEZ · pith_short_16: TJFSSNV7HBEZXVWY · pith_short_8: TJFSSNV7

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/TJFSSNV7HBEZXVWYMIJQSOITOJ \
  | 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: 9a4b2936bf38499bd6d862130939137268e5967c723c1f937cedc16ade3de269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03d6f3b1e1f9ca92d006650546c6bdfa17cf17ecb3d8af9f3cbfc01038a175c",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-05-28T10:23:30Z",
    "title_canon_sha256": "4381824c6371423fa3154c47f1775595a995c10d11c64ce757500595bb67126c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6072",
    "kind": "arxiv",
    "version": 1
  }
}