Pith Number

pith:45WALCIZ

pith:2012:45WALCIZZ3P763T2V75KN4WGFW

not attested not anchored not stored refs pending

Evolution equation in Hilbert-Mumford calculus

Ziv Ran

arxiv:1211.6040 v1 · 2012-11-26 · 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{45WALCIZZ3P763T2V75KN4WGFW}

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	2026-05-18T03:39:53.592020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76c058919cedfff6e7aaffaa6f2c62da01b49f6f64ecf54d5f92c910e2cf924

Aliases

arxiv: 1211.6040 · arxiv_version: 1211.6040v1 · doi: 10.48550/arxiv.1211.6040 · pith_short_12: 45WALCIZZ3P7 · pith_short_16: 45WALCIZZ3P763T2 · pith_short_8: 45WALCIZ

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/45WALCIZZ3P763T2V75KN4WGFW \
  | 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: e76c058919cedfff6e7aaffaa6f2c62da01b49f6f64ecf54d5f92c910e2cf924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "337b3ef88bda306197d97eb04d5b3a6b9990f205815f4bdfa4049cfea52d8b2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-26T17:55:09Z",
    "title_canon_sha256": "920f8ff15208fbd3413bdef3645391ebe54cd2fea088399cefb97a788a2442e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6040",
    "kind": "arxiv",
    "version": 1
  }
}