Pith Number

pith:PIRQW5IP

pith:2013:PIRQW5IP2VCCAX3YXV43FRJGJN

not attested not anchored not stored refs pending

On the regularity of binomial edge ideals

Andrei Zarojanu, Viviana Ene

arxiv:1307.2141 v1 · 2013-07-08 · 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{PIRQW5IP2VCCAX3YXV43FRJGJN}

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	2026-05-18T03:19:02.302037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a230b750fd544205f78bd79b2c5264b7ec2ac58f707dfc02f55bcb4e38bc003

Aliases

arxiv: 1307.2141 · arxiv_version: 1307.2141v1 · doi: 10.48550/arxiv.1307.2141 · pith_short_12: PIRQW5IP2VCC · pith_short_16: PIRQW5IP2VCCAX3Y · pith_short_8: PIRQW5IP

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/PIRQW5IP2VCCAX3YXV43FRJGJN \
  | 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: 7a230b750fd544205f78bd79b2c5264b7ec2ac58f707dfc02f55bcb4e38bc003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c460ccb225df682a99d37891cdb8c0ed2564c2cbefa1fc523bcebfc03237e862",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-08T16:08:24Z",
    "title_canon_sha256": "fdb06fb75acd338e5361e5f0529b7196ea34d6d8d205dd69f1e3eed29c47d5a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2141",
    "kind": "arxiv",
    "version": 1
  }
}