Pith Number

pith:N2CQURUG

pith:2012:N2CQURUGNGUNZURNUDOF2ATITM

not attested not anchored not stored refs pending

Zero forcing for inertia sets

H. Tracy Hall, Jason Grout, Steve Butler

arxiv:1211.4618 v1 · 2012-11-19 · 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{N2CQURUGNGUNZURNUDOF2ATITM}

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	2026-05-18T03:40:26.179490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e850a468669a8dcd22da0dc5d02689b066700eebb9bd0c2cea6a2b3b5e4fbe0

Aliases

arxiv: 1211.4618 · arxiv_version: 1211.4618v1 · doi: 10.48550/arxiv.1211.4618 · pith_short_12: N2CQURUGNGUN · pith_short_16: N2CQURUGNGUNZURN · pith_short_8: N2CQURUG

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/N2CQURUGNGUNZURNUDOF2ATITM \
  | 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: 6e850a468669a8dcd22da0dc5d02689b066700eebb9bd0c2cea6a2b3b5e4fbe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f19b14c2574606165fdf7bd50027677f13f6804870a0b6c65c4f68a97d1b11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-19T22:53:10Z",
    "title_canon_sha256": "d3f57402a46859c7b58f3e527de43f0ace26c48038031a7d707c17751399c175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4618",
    "kind": "arxiv",
    "version": 1
  }
}