Pith Number

pith:HAJ5AIGD

pith:2007:HAJ5AIGDTTBLFWUWDWHZDYKHK7

not attested not anchored not stored refs pending

Arithmetical ranks of Stanley-Reisner ideals via linear algebra

Margherita Barile

arxiv:math/0703258 v2 · 2007-03-09 · 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{HAJ5AIGDTTBLFWUWDWHZDYKHK7}

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	2026-05-18T04:08:52.853451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3813d020c39cc2b2da961d8f91e14757ec2b599d5983d93535ec85ea0f0071cb

Aliases

arxiv: math/0703258 · arxiv_version: math/0703258v2 · doi: 10.48550/arxiv.math/0703258 · pith_short_12: HAJ5AIGDTTBL · pith_short_16: HAJ5AIGDTTBLFWUW · pith_short_8: HAJ5AIGD

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/HAJ5AIGDTTBLFWUWDWHZDYKHK7 \
  | 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: 3813d020c39cc2b2da961d8f91e14757ec2b599d5983d93535ec85ea0f0071cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7fbd05bf2c6ecf5b844052dfa2d74b492a2dc8b4f2cec5534b257ec18c1652",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-03-09T12:51:34Z",
    "title_canon_sha256": "b86a04cbea91720c5d41b1adfeff466d24ff225b54e0cb61bd435bf46df192d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703258",
    "kind": "arxiv",
    "version": 2
  }
}