Pith Number

pith:YPBF2GAM

pith:2013:YPBF2GAM7NKSKUQOTKDDSNFOAS

not attested not anchored not stored refs pending

The Alpha Problem & Line Count Configurations

Stephen G. Hartke, Susan M. Cooper

arxiv:1312.4147 v3 · 2013-12-15 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPBF2GAM7NKSKUQOTKDDSNFOAS}

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	2026-05-18T02:55:13.099756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c25d180cfb5525520e9a863934ae048e81fdeb5442cd11d0439d81f2e56aaf

Aliases

arxiv: 1312.4147 · arxiv_version: 1312.4147v3 · doi: 10.48550/arxiv.1312.4147 · pith_short_12: YPBF2GAM7NKS · pith_short_16: YPBF2GAM7NKSKUQO · pith_short_8: YPBF2GAM

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/YPBF2GAM7NKSKUQOTKDDSNFOAS \
  | 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: c3c25d180cfb5525520e9a863934ae048e81fdeb5442cd11d0439d81f2e56aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a979ce403c458a0ee3e1e4290840c664c818a08d34ee6b1e7a756355e3922879",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-15T13:47:59Z",
    "title_canon_sha256": "23569130cbfc05043b830f35ec8be857917f556e9ee1273c9890ba395180e8ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4147",
    "kind": "arxiv",
    "version": 3
  }
}