Pith Number

pith:YEDHKHGZ

pith:2012:YEDHKHGZTXOSFKCT5O5ISBVIIH

not attested not anchored not stored refs pending

Sums of toric ideals

Hernan de Alba Casillas, Marcel Morales

arxiv:1211.5386 v1 · 2012-11-22 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YEDHKHGZTXOSFKCT5O5ISBVIIH}

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	2026-05-18T03:40:04.517277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c106751cd99ddd22a853ebba8906a841d3c0ae47123570ed11be3ae630ff3e03

Aliases

arxiv: 1211.5386 · arxiv_version: 1211.5386v1 · doi: 10.48550/arxiv.1211.5386 · pith_short_12: YEDHKHGZTXOS · pith_short_16: YEDHKHGZTXOSFKCT · pith_short_8: YEDHKHGZ

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/YEDHKHGZTXOSFKCT5O5ISBVIIH \
  | 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: c106751cd99ddd22a853ebba8906a841d3c0ae47123570ed11be3ae630ff3e03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f46c3f725c851c504bdaf86bb76972f26bd34e408ad1083a6642f2d9f5ace52",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-22T21:46:12Z",
    "title_canon_sha256": "4a686195026b6738b1f0ec0197b1a8eabe30a65f531f02d07be68ff9ca5c7170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5386",
    "kind": "arxiv",
    "version": 1
  }
}