Pith Number

pith:ZCGR3RTB

pith:2013:ZCGR3RTBOEBZQLCRA7V6IA7F36

not attested not anchored not stored refs pending

Replication in critical graphs and the persistence of monomial ideals

Mat\v{e}j Stehl\'ik, Riste \v{S}krekovski, Tom\'a\v{s} Kaiser

arxiv:1301.6983 v3 · 2013-01-29 · 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{ZCGR3RTBOEBZQLCRA7V6IA7F36}

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	2026-05-18T03:02:21.179754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c88d1dc6617103982c5107ebe403e5df91c446b253beb12379fd517db55142f9

Aliases

arxiv: 1301.6983 · arxiv_version: 1301.6983v3 · doi: 10.48550/arxiv.1301.6983 · pith_short_12: ZCGR3RTBOEBZ · pith_short_16: ZCGR3RTBOEBZQLCR · pith_short_8: ZCGR3RTB

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/ZCGR3RTBOEBZQLCRA7V6IA7F36 \
  | 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: c88d1dc6617103982c5107ebe403e5df91c446b253beb12379fd517db55142f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3532a5e9873abefd6804748c165216e3ad5333fc9be1b95b5db75c4c81dbf48c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-29T16:52:18Z",
    "title_canon_sha256": "e2554ab743c54439903b1f6fcd0f235a8c1e644efb49efdde29eebc489c8365d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6983",
    "kind": "arxiv",
    "version": 3
  }
}