Pith Number

pith:XEYA7Y4C

pith:2014:XEYA7Y4C5JLTG34PYEO2CIEPTC

not attested not anchored not stored refs pending

Gr\"obner Bases and Nullstellens\"atze for Graph-Coloring Ideals

David Rolnick, Despina Stasi, Eric Riedl, Gwen Spencer, Jes\'us A. De Loera, Jon Swenson, Michael Pernpeintner, Susan Margulies

arxiv:1410.6806 v1 · 2014-10-24 · cs.SC · cs.CC · math.AC · math.AG · 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{XEYA7Y4C5JLTG34PYEO2CIEPTC}

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	2026-05-18T02:39:18.576998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9300fe382ea57336f8fc11da1208f98abace0b5e5a968ed260cda4edee61692

Aliases

arxiv: 1410.6806 · arxiv_version: 1410.6806v1 · doi: 10.48550/arxiv.1410.6806 · pith_short_12: XEYA7Y4C5JLT · pith_short_16: XEYA7Y4C5JLTG34P · pith_short_8: XEYA7Y4C

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/XEYA7Y4C5JLTG34PYEO2CIEPTC \
  | 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: b9300fe382ea57336f8fc11da1208f98abace0b5e5a968ed260cda4edee61692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34866b41707667968d8a365cd249bdb61cfa7d0e1e7c528a93a6d21779fd8525",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AC",
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2014-10-24T19:25:05Z",
    "title_canon_sha256": "fed6e6a34b0527dae92be60cc2ab04c51ea37d4d6f3190bba5e7532a77dfaa40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6806",
    "kind": "arxiv",
    "version": 1
  }
}