Pith Number

pith:2LIGMGWQ

pith:2010:2LIGMGWQSR6PZLLOQJTOSLJ3J3

not attested not anchored not stored refs pending

Ideals of Graph Homomorphisms

Alexander Engstrom, Patrik Noren

arxiv:1002.4679 v5 · 2010-02-25 · 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{2LIGMGWQSR6PZLLOQJTOSLJ3J3}

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	2026-05-18T04:11:51.901109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d0661ad0947cfcad6e8266e92d3b4ed4b510974ddbe7e0619dbe9ed1397d50

Aliases

arxiv: 1002.4679 · arxiv_version: 1002.4679v5 · doi: 10.48550/arxiv.1002.4679 · pith_short_12: 2LIGMGWQSR6P · pith_short_16: 2LIGMGWQSR6PZLLO · pith_short_8: 2LIGMGWQ

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/2LIGMGWQSR6PZLLOQJTOSLJ3J3 \
  | 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: d2d0661ad0947cfcad6e8266e92d3b4ed4b510974ddbe7e0619dbe9ed1397d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde16f21d9278e5e7401e1ec1cf8bdc36a2bb2b1285b8f69c2209214dc1fa16d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-02-25T02:12:29Z",
    "title_canon_sha256": "338056309b7885fb86c040de471dbd2a5a31daaa3fdb249968b1c43a15bea571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4679",
    "kind": "arxiv",
    "version": 5
  }
}