Pith Number

pith:ADJVSDTV

pith:2013:ADJVSDTV2SL3XO4KK3ELRJ4UZW

not attested not anchored not stored refs pending

On the deformation of path algebras

Murray Gerstenhaber

arxiv:1306.4939 v2 · 2013-06-20 · math-ph · math.KT · math.MG · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADJVSDTV2SL3XO4KK3ELRJ4UZW}

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	2026-05-18T03:19:03.868832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00d3590e75d497bbbb8a56c8b8a794cdbefb41a31f83fc29525b019ac01f8ab1

Aliases

arxiv: 1306.4939 · arxiv_version: 1306.4939v2 · doi: 10.48550/arxiv.1306.4939 · pith_short_12: ADJVSDTV2SL3 · pith_short_16: ADJVSDTV2SL3XO4K · pith_short_8: ADJVSDTV

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/ADJVSDTV2SL3XO4KK3ELRJ4UZW \
  | 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: 00d3590e75d497bbbb8a56c8b8a794cdbefb41a31f83fc29525b019ac01f8ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15f3e2fde308626d6184f78ca366a7106bf4fb7770acf0e4fb16735a5cda6ae",
    "cross_cats_sorted": [
      "math.KT",
      "math.MG",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-20T17:32:46Z",
    "title_canon_sha256": "b808d69b832144a3c7fcdc7d5a8bc8d2386e351523c93d8ba71b6d666a7da797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4939",
    "kind": "arxiv",
    "version": 2
  }
}