Pith Number

pith:25DK7ZRX

pith:2011:25DK7ZRXQ7TSANVQTYCTXAWG2R

not attested not anchored not stored refs pending

Powers of edge ideals

Carmela Ferro, Mariella Murgia, Oana Olteanu

arxiv:1111.6157 v2 · 2011-11-26 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25DK7ZRXQ7TSANVQTYCTXAWG2R}

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	2026-05-18T04:07:19.220663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d746afe63787e72036b09e053b82c6d460dee86b11052ad62ff5d3becd1e70a1

Aliases

arxiv: 1111.6157 · arxiv_version: 1111.6157v2 · doi: 10.48550/arxiv.1111.6157 · pith_short_12: 25DK7ZRXQ7TS · pith_short_16: 25DK7ZRXQ7TSANVQ · pith_short_8: 25DK7ZRX

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/25DK7ZRXQ7TSANVQTYCTXAWG2R \
  | 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: d746afe63787e72036b09e053b82c6d460dee86b11052ad62ff5d3becd1e70a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17699be40ff4ffb0b706f03c490c2b0725b27ffcce277a71e99cc429fa454935",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-11-26T12:48:14Z",
    "title_canon_sha256": "421836485b1b9cc676ae8ff45155a23c55e27f6fc2c4267ce7548afba9631edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6157",
    "kind": "arxiv",
    "version": 2
  }
}