Pith Number

pith:NDXQMBVY

pith:2007:NDXQMBVYZPUDNCEG2CGLCQFN47

not attested not anchored not stored refs pending

Classical invariants for global actions and groupoid atlases

Elias Gabriel Minian, Matias Luis del Hoyo

arxiv:math/0702711 v1 · 2007-02-23 · 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{NDXQMBVYZPUDNCEG2CGLCQFN47}

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	2026-05-18T00:11:12.120688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ef0606b8cbe8368886d08cb140ade7f4ee5b5b8b5c340e6e923b31c554db69

Aliases

arxiv: math/0702711 · arxiv_version: math/0702711v1 · doi: 10.48550/arxiv.math/0702711 · pith_short_12: NDXQMBVYZPUD · pith_short_16: NDXQMBVYZPUDNCEG · pith_short_8: NDXQMBVY

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/NDXQMBVYZPUDNCEG2CGLCQFN47 \
  | 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: 68ef0606b8cbe8368886d08cb140ade7f4ee5b5b8b5c340e6e923b31c554db69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2406da2f679a42a66b4586b26966772aff2b0590f7f7d256433a3aed4bf42b1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-02-23T18:03:56Z",
    "title_canon_sha256": "579b9ffce66dc4f4f69d272fccd3fbc7caf872523c1b367654f77f363cb6c86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702711",
    "kind": "arxiv",
    "version": 1
  }
}