Pith Number

pith:PQ7L4DK4

pith:2005:PQ7L4DK4VTARQMJOWYZ2EXVCFW

not attested not anchored not stored refs pending

The Stasheff model of a simply-connected manifold and the string bracket

Andrey Lazarev

arxiv:math/0512596 v1 · 2005-12-27 · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQ7L4DK4VTARQMJOWYZ2EXVCFW}

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	2026-05-18T01:05:22.847529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3ebe0d5cacc118312eb633a25ea22dbbc2eeb25cfef3690e6518da9e59d817

Aliases

arxiv: math/0512596 · arxiv_version: math/0512596v1 · doi: 10.48550/arxiv.math/0512596 · pith_short_12: PQ7L4DK4VTAR · pith_short_16: PQ7L4DK4VTARQMJO · pith_short_8: PQ7L4DK4

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/PQ7L4DK4VTARQMJOWYZ2EXVCFW \
  | 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: 7c3ebe0d5cacc118312eb633a25ea22dbbc2eeb25cfef3690e6518da9e59d817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f77e19067bfd8b317b073d0b96bdd4614e7f16e57c20b091c894f803587acd2",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-12-27T12:03:08Z",
    "title_canon_sha256": "2c0ad4d7e0e607d1e800de2bf6a7889ff8793b0d07c82f226d1d4a242426a81f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512596",
    "kind": "arxiv",
    "version": 1
  }
}