Pith Number

pith:BTHM2HEF

pith:2010:BTHM2HEFFRJIYJJ24YXA5PESRI

not attested not anchored not stored refs pending

Values and bounds of the Stanley depth

Muhammad Ishaq

arxiv:1010.4692 v1 · 2010-10-22 · 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{BTHM2HEFFRJIYJJ24YXA5PESRI}

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	2026-05-18T04:38:57.567308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccecd1c852c528c253ae62e0ebc928a381679a0eb863bf70dec4d7ec6692489

Aliases

arxiv: 1010.4692 · arxiv_version: 1010.4692v1 · doi: 10.48550/arxiv.1010.4692 · pith_short_12: BTHM2HEFFRJI · pith_short_16: BTHM2HEFFRJIYJJ2 · pith_short_8: BTHM2HEF

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/BTHM2HEFFRJIYJJ24YXA5PESRI \
  | 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: 0ccecd1c852c528c253ae62e0ebc928a381679a0eb863bf70dec4d7ec6692489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6bbe53c3bc40f41d138dcc82524eefdcbabced117de71c9d6530274b7bb89b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-22T12:44:19Z",
    "title_canon_sha256": "6da4a846aaaa8ce882a668a080bf71200bbee26fb030a5765c5ba08f9b5535cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4692",
    "kind": "arxiv",
    "version": 1
  }
}