Pith Number

pith:XGS3Z3IO

pith:2012:XGS3Z3IOH5VTAU2DHHQ2KIJ57Z

not attested not anchored not stored refs pending

On homometric sets in graphs

Lale \"Ozkahya, Maria Axenovich

arxiv:1203.1158 v1 · 2012-03-06 · 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{XGS3Z3IOH5VTAU2DHHQ2KIJ57Z}

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	2026-05-18T04:00:40.202103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a5bced0e3f6b30534339e1a5213dfe5aa035f9d8acf2a9784cc47c36f37038

Aliases

arxiv: 1203.1158 · arxiv_version: 1203.1158v1 · doi: 10.48550/arxiv.1203.1158 · pith_short_12: XGS3Z3IOH5VT · pith_short_16: XGS3Z3IOH5VTAU2D · pith_short_8: XGS3Z3IO

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/XGS3Z3IOH5VTAU2DHHQ2KIJ57Z \
  | 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: b9a5bced0e3f6b30534339e1a5213dfe5aa035f9d8acf2a9784cc47c36f37038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44145b0db5738192efceff952734d089bab9274d6f34e264fbc0d62ebd7a529c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-06T10:27:54Z",
    "title_canon_sha256": "7882aa4cc87bba62fe750a816492f7152675d6607954a6464364bf474e672f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1158",
    "kind": "arxiv",
    "version": 1
  }
}