Pith Number

pith:4YSMGWUI

pith:2009:4YSMGWUIU6L7UW4YCL2I2OP3DH

not attested not anchored not stored refs pending

Stanley's conjecture for critical ideals

Azeem Haider, Sardar Mohib Ali Khan

arxiv:0905.0960 v1 · 2009-05-07 · 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{4YSMGWUIU6L7UW4YCL2I2OP3DH}

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	2026-05-18T00:04:34.465194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e624c35a88a797fa5b9812f48d39fb19d83484060cd6eb1e63e1756719c5f563

Aliases

arxiv: 0905.0960 · arxiv_version: 0905.0960v1 · doi: 10.48550/arxiv.0905.0960 · pith_short_12: 4YSMGWUIU6L7 · pith_short_16: 4YSMGWUIU6L7UW4Y · pith_short_8: 4YSMGWUI

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/4YSMGWUIU6L7UW4YCL2I2OP3DH \
  | 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: e624c35a88a797fa5b9812f48d39fb19d83484060cd6eb1e63e1756719c5f563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd2a7bfd6679bfe41eb34b6753f818906f91bbada4f1e2b46f6e6c0d9a19cab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-05-07T07:59:35Z",
    "title_canon_sha256": "a37c7708757592c5d13a014a1b34fbb2de7c82cb411461fa35fcf9258624c1ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0960",
    "kind": "arxiv",
    "version": 1
  }
}