Pith Number

pith:BV3HJIEJ

pith:2012:BV3HJIEJFJLHKLM2CU6A3545E3

not attested not anchored not stored refs pending

Homotopy unital A_infinity-algebras

Volodymyr Lyubashenko

arxiv:1205.6058 v1 · 2012-05-28 · math.KT · 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{BV3HJIEJFJLHKLM2CU6A3545E3}

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	2026-05-18T03:54:48.406890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d7674a0892a56752d9a153c0df79d26c15af394d59d8674a2d22c21d465d747

Aliases

arxiv: 1205.6058 · arxiv_version: 1205.6058v1 · doi: 10.48550/arxiv.1205.6058 · pith_short_12: BV3HJIEJFJLH · pith_short_16: BV3HJIEJFJLHKLM2 · pith_short_8: BV3HJIEJ

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/BV3HJIEJFJLHKLM2CU6A3545E3 \
  | 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: 0d7674a0892a56752d9a153c0df79d26c15af394d59d8674a2d22c21d465d747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "492525d8cd015c5cb63ca055b70151912c8bc2992fa81f96b5b1ebfbe35b6d92",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-05-28T09:14:30Z",
    "title_canon_sha256": "32943b8752b90e2f795bab25c339f3c6648b964664d76d2aed1057595d83bd12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6058",
    "kind": "arxiv",
    "version": 1
  }
}