Pith Number

pith:JBKFVUDA

pith:2012:JBKFVUDALJQMWYZY2BE4CXJCXI

not attested not anchored not stored refs pending

The primary components of positive critical binomial ideals

Francesc Planas-Vilanova, Liam O'Carroll

arxiv:1206.7094 v1 · 2012-06-29 · 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{JBKFVUDALJQMWYZY2BE4CXJCXI}

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	2026-05-18T03:52:13.036750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48545ad0605a60cb6338d049c15d22ba307eb54e0f4f370f2a008853a8a16f24

Aliases

arxiv: 1206.7094 · arxiv_version: 1206.7094v1 · doi: 10.48550/arxiv.1206.7094 · pith_short_12: JBKFVUDALJQM · pith_short_16: JBKFVUDALJQMWYZY · pith_short_8: JBKFVUDA

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/JBKFVUDALJQMWYZY2BE4CXJCXI \
  | 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: 48545ad0605a60cb6338d049c15d22ba307eb54e0f4f370f2a008853a8a16f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a596815809a8a605f50ddcf156596438df37cd76c61797c39b402d5d6b40463",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-29T18:31:55Z",
    "title_canon_sha256": "083cfbc56178249461b21af1080ba4c5fabca7e6a172920354c422381eefe6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7094",
    "kind": "arxiv",
    "version": 1
  }
}