Pith Number

pith:UHEZZVH7

pith:2011:UHEZZVH7E6GZRTLO4PPPXAW4UU

not attested not anchored not stored refs pending

Multigraded Commutative Algebra of Graph Decompositions

Alexander Engstrom, Seth Sullivant, Thomas Kahle

arxiv:1102.2601 v5 · 2011-02-13 · 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{UHEZZVH7E6GZRTLO4PPPXAW4UU}

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	2026-05-18T02:52:14.609099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c99cd4ff278d98cd6ee3defb82dca5214a6e3adb8f738197cd04426a2b9603

Aliases

arxiv: 1102.2601 · arxiv_version: 1102.2601v5 · doi: 10.48550/arxiv.1102.2601 · pith_short_12: UHEZZVH7E6GZ · pith_short_16: UHEZZVH7E6GZRTLO · pith_short_8: UHEZZVH7

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/UHEZZVH7E6GZRTLO4PPPXAW4UU \
  | 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: a1c99cd4ff278d98cd6ee3defb82dca5214a6e3adb8f738197cd04426a2b9603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b119353433be20937b77fdd009e9493d547cfb0dd2ee5c2c4251211b4038de79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-02-13T15:07:24Z",
    "title_canon_sha256": "66e4dcbd42e122a5fd1ba6c2d02f9656f9cbdae6dbc3983c319d32672de35c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2601",
    "kind": "arxiv",
    "version": 5
  }
}