Pith Number

pith:JZJTMTPG

pith:2012:JZJTMTPGH3KB4UUE4KWWSC5OXS

not attested not anchored not stored refs pending

Polynomial Global Product Structure

Andy Hammerlindl

arxiv:1203.5319 v1 · 2012-03-23 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZJTMTPGH3KB4UUE4KWWSC5OXS}

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	2026-05-18T03:59:26.209177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e53364de63ed41e5284e2ad690baebc99977e98aca9c78d2d0d44c8b0131fd8

Aliases

arxiv: 1203.5319 · arxiv_version: 1203.5319v1 · doi: 10.48550/arxiv.1203.5319 · pith_short_12: JZJTMTPGH3KB · pith_short_16: JZJTMTPGH3KB4UUE · pith_short_8: JZJTMTPG

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/JZJTMTPGH3KB4UUE4KWWSC5OXS \
  | 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: 4e53364de63ed41e5284e2ad690baebc99977e98aca9c78d2d0d44c8b0131fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1606653bd199f5854eefa230be6dbb7cba90bdf727477840b798cf76df9c368",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-23T18:47:21Z",
    "title_canon_sha256": "e675a50606097fb51acb496463c09ef59c40b371b0a5b074be5c30c980e69743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5319",
    "kind": "arxiv",
    "version": 1
  }
}