Pith Number

pith:I4J7YXE7

pith:2016:I4J7YXE7CSQLDAYMBFUAAZZJWS

not attested not anchored not stored refs pending

On a multiplicative version of Mumford's theorem

Robert Laterveer

arxiv:1602.04944 v1 · 2016-02-16 · 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{I4J7YXE7CSQLDAYMBFUAAZZJWS}

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	2026-05-18T01:20:37.805502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4713fc5c9f14a0b1830c0968006729b49d106652b6838408c812d797606243b9

Aliases

arxiv: 1602.04944 · arxiv_version: 1602.04944v1 · doi: 10.48550/arxiv.1602.04944 · pith_short_12: I4J7YXE7CSQL · pith_short_16: I4J7YXE7CSQLDAYM · pith_short_8: I4J7YXE7

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/I4J7YXE7CSQLDAYMBFUAAZZJWS \
  | 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: 4713fc5c9f14a0b1830c0968006729b49d106652b6838408c812d797606243b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe679adc0facb0de93c8c8e21daf1813d0f2114b8df981342eb7c5c290eec6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-16T08:50:39Z",
    "title_canon_sha256": "bd8a52b8523617b1a944200554da6b9df9381f05b17ebeff69a433217488b1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04944",
    "kind": "arxiv",
    "version": 1
  }
}