Pith Number

pith:JDAIUNOO

pith:2012:JDAIUNOOD23BNG2PK6YLHK63XL

not attested not anchored not stored refs pending

Orderable groups and bundles

Adam Clay, Mathieu Anel

arxiv:1208.5844 v1 · 2012-08-29 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDAIUNOOD23BNG2PK6YLHK63XL}

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	2026-05-18T03:46:48.540816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c08a35ce1eb6169b4f57b0b3abdbbaf3250729d49acd8fbf8c49f258fd1d9c

Aliases

arxiv: 1208.5844 · arxiv_version: 1208.5844v1 · doi: 10.48550/arxiv.1208.5844 · pith_short_12: JDAIUNOOD23B · pith_short_16: JDAIUNOOD23BNG2P · pith_short_8: JDAIUNOO

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/JDAIUNOOD23BNG2PK6YLHK63XL \
  | 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: 48c08a35ce1eb6169b4f57b0b3abdbbaf3250729d49acd8fbf8c49f258fd1d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4513dffd2fb9b7649412ab8ee7f526a5da0ba0a71b4d1f09a64f5bb30e47b35e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-29T06:22:44Z",
    "title_canon_sha256": "6a56b33a959cf84f5b1ee41e9abd172e66c3415c0dacc01dd3c2f61757d8ef22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5844",
    "kind": "arxiv",
    "version": 1
  }
}