Pith Number

pith:GRC7Y6L6

pith:2011:GRC7Y6L6X3ZZLISWDOGCNE2WPW

not attested not anchored not stored refs pending

A convenient category of supermanifolds

Alexander Alldridge

arxiv:1109.3161 v1 · 2011-09-14 · math.DG · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRC7Y6L6X3ZZLISWDOGCNE2WPW}

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	2026-05-18T04:13:06.145157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3445fc797ebef395a2561b8c2693567d9e81354609769c3f1aea02fbee7f3817

Aliases

arxiv: 1109.3161 · arxiv_version: 1109.3161v1 · doi: 10.48550/arxiv.1109.3161 · pith_short_12: GRC7Y6L6X3ZZ · pith_short_16: GRC7Y6L6X3ZZLISW · pith_short_8: GRC7Y6L6

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/GRC7Y6L6X3ZZLISWDOGCNE2WPW \
  | 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: 3445fc797ebef395a2561b8c2693567d9e81354609769c3f1aea02fbee7f3817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87420eecdde12ce0f10018ba1b2e7c19dbad68473930f97f24994e697309bc0b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-14T18:31:54Z",
    "title_canon_sha256": "ba9df16b29d07fea48b2c2745ed9c7f47868f663099e9f7c45d697cb304723fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3161",
    "kind": "arxiv",
    "version": 1
  }
}