Pith Number

pith:N4N5Q7AG

pith:2011:N4N5Q7AGF6W24NRLWJMAIL5BYM

not attested not anchored not stored refs pending

Localization of ringed spaces

W. D. Gillam

arxiv:1103.2139 v1 · 2011-03-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4N5Q7AGF6W24NRLWJMAIL5BYM}

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	2026-05-18T04:26:56.124803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1bd87c062fadae362bb258042fa1c3024ee65218168786d7ea476eb1dd5ea7

Aliases

arxiv: 1103.2139 · arxiv_version: 1103.2139v1 · doi: 10.48550/arxiv.1103.2139 · pith_short_12: N4N5Q7AGF6W2 · pith_short_16: N4N5Q7AGF6W24NRL · pith_short_8: N4N5Q7AG

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/N4N5Q7AGF6W24NRLWJMAIL5BYM \
  | 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: 6f1bd87c062fadae362bb258042fa1c3024ee65218168786d7ea476eb1dd5ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ea00e89c7eee370336a61ac9bc4d816fc663d13ad5a6b0ffd018e7915243b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-10T21:10:02Z",
    "title_canon_sha256": "ec039ef056c5b442cef61f84946cc28613fe402806612d460fae551babde2693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2139",
    "kind": "arxiv",
    "version": 1
  }
}