Pith Number

pith:KXQLTDCR

pith:2011:KXQLTDCRGG6MIRQFTCYEKCJBTO

not attested not anchored not stored refs pending

The inducibility of small oriented graphs

Konrad Sperfeld

arxiv:1111.4813 v2 · 2011-11-21 · 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{KXQLTDCRGG6MIRQFTCYEKCJBTO}

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	2026-05-18T04:07:52.265270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e0b98c5131bcc4460598b04509219b9c8591ef9c76bee9128f9848e4810ed9

Aliases

arxiv: 1111.4813 · arxiv_version: 1111.4813v2 · doi: 10.48550/arxiv.1111.4813 · pith_short_12: KXQLTDCRGG6M · pith_short_16: KXQLTDCRGG6MIRQF · pith_short_8: KXQLTDCR

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/KXQLTDCRGG6MIRQFTCYEKCJBTO \
  | 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: 55e0b98c5131bcc4460598b04509219b9c8591ef9c76bee9128f9848e4810ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73658ac88a41c32129d66c410f5f897a8061a5015d0192cc129c1e144cc40d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-21T10:30:21Z",
    "title_canon_sha256": "5b1ab8c7a8daa57c4387577e219c5222d00a9a6b8361ccd13154fa08d484f3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4813",
    "kind": "arxiv",
    "version": 2
  }
}