Pith Number

pith:ZHH43F5H

pith:2007:ZHH43F5HC5ZXEAI3AX35ZXDNID

not attested not anchored not stored refs pending

Stanley Conjecture in small embedding dimension

Dorin Popescu, Imran Anwar

arxiv:math/0702728 v1 · 2007-02-24 · 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{ZHH43F5HC5ZXEAI3AX35ZXDNID}

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	2026-05-18T04:31:12.504133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cfcd97a7177372011b05f7dcdc6d40ce383e33355e3afafd651fd3a462dec9

Aliases

arxiv: math/0702728 · arxiv_version: math/0702728v1 · doi: 10.48550/arxiv.math/0702728 · pith_short_12: ZHH43F5HC5ZX · pith_short_16: ZHH43F5HC5ZXEAI3 · pith_short_8: ZHH43F5H

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/ZHH43F5HC5ZXEAI3AX35ZXDNID \
  | 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: c9cfcd97a7177372011b05f7dcdc6d40ce383e33355e3afafd651fd3a462dec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df27f146bf80f83dc2182683c57a2367b95974e2a29b4c2d8d315958ca10f3b1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-02-24T05:51:56Z",
    "title_canon_sha256": "3bf92aef0cfe0cd13bd79d97fc08c36b53067f0e295197ab22915843880ae1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702728",
    "kind": "arxiv",
    "version": 1
  }
}