Pith Number

pith:WMHELGNJ

pith:2012:WMHELGNJBQEGCXZXPBJEEY5ZTN

not attested not anchored not stored refs pending

Sheaves that fail to represent matrix rings

Manuel L. Reyes

arxiv:1211.4005 v3 · 2012-11-16 · math.RA · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMHELGNJBQEGCXZXPBJEEY5ZTN}

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	2026-05-18T02:57:44.258522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30e4599a90c08615f3778524263b99b42e1fdf9fdaf35f8af284d87f44bf2ff

Aliases

arxiv: 1211.4005 · arxiv_version: 1211.4005v3 · doi: 10.48550/arxiv.1211.4005 · pith_short_12: WMHELGNJBQEG · pith_short_16: WMHELGNJBQEGCXZX · pith_short_8: WMHELGNJ

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/WMHELGNJBQEGCXZXPBJEEY5ZTN \
  | 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: b30e4599a90c08615f3778524263b99b42e1fdf9fdaf35f8af284d87f44bf2ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf69bfabaece1c8960822d8a77e8a0d94867f354684b8ab513fdcb27cbb8b2e",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-11-16T20:09:32Z",
    "title_canon_sha256": "26b11d23c288e3a20339236a43607e30eee4d37f77164f87ed1b6152f85392e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4005",
    "kind": "arxiv",
    "version": 3
  }
}