Pith Number

pith:Y3GCQKEK

pith:2012:Y3GCQKEKZLA3AV3CZXEEBTNKNU

not attested not anchored not stored refs pending

Graphs and complete intersection toric ideals

Enrique Reyes, Ignacio Garc\'ia-Marco, Isabel Bermejo

arxiv:1210.1950 v5 · 2012-10-06 · 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{Y3GCQKEKZLA3AV3CZXEEBTNKNU}

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	2026-05-18T01:37:02.699958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6cc28288acac1b05762cdc840cdaa6d3761a7d5f210534c468c9dec8ec59de5

Aliases

arxiv: 1210.1950 · arxiv_version: 1210.1950v5 · doi: 10.48550/arxiv.1210.1950 · pith_short_12: Y3GCQKEKZLA3 · pith_short_16: Y3GCQKEKZLA3AV3C · pith_short_8: Y3GCQKEK

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/Y3GCQKEKZLA3AV3CZXEEBTNKNU \
  | 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: c6cc28288acac1b05762cdc840cdaa6d3761a7d5f210534c468c9dec8ec59de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed0f4dbbe791abea51ec85ee1be6700bd3174cb51b0039646169bc0ca3fb57b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-10-06T12:19:14Z",
    "title_canon_sha256": "0e19f6275cb9de5507d3e40073d70d53cca4c42236d34fd267470bed16406ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1950",
    "kind": "arxiv",
    "version": 5
  }
}