Pith Number

pith:GQQ4M744

pith:2007:GQQ4M744PCJOMQXWDP4L6ZEAXF

not attested not anchored not stored refs pending

Partial monoids and Dold-Thom functors

Jacob Mostovoy

arxiv:0712.3444 v2 · 2007-12-20 · 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{GQQ4M744PCJOMQXWDP4L6ZEAXF}

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	2026-05-18T03:34:25.922814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3421c67f9c7892e642f61bf8bf6480b97d128824020d3e2b55e581b915c0f1a9

Aliases

arxiv: 0712.3444 · arxiv_version: 0712.3444v2 · doi: 10.48550/arxiv.0712.3444 · pith_short_12: GQQ4M744PCJO · pith_short_16: GQQ4M744PCJOMQXW · pith_short_8: GQQ4M744

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/GQQ4M744PCJOMQXWDP4L6ZEAXF \
  | 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: 3421c67f9c7892e642f61bf8bf6480b97d128824020d3e2b55e581b915c0f1a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f547789832dcb35d55c7fe8819af144e37249251250ac1ede566fafa35fa3a13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-20T15:06:15Z",
    "title_canon_sha256": "c0ea74df506aef307b616cf676b330f3b32ce1dac4fe1832fc5b1aabd2f5f18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3444",
    "kind": "arxiv",
    "version": 2
  }
}