Pith Number

pith:YGTTKI3U

pith:2012:YGTTKI3UETFDJUF4S232M7733H

not attested not anchored not stored refs pending

Star subdivisions and connected even factors in the square of a graph

Jan Ekstein, Liming Xiong, P\v{r}emysl Holub, Shenggui Zhang, Tom\'a\v{s} Kaiser

arxiv:1206.4825 v1 · 2012-06-21 · 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{YGTTKI3UETFDJUF4S232M7733H}

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	2026-05-18T03:52:54.309917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a735237424ca34d0bc96b7a67ffbd9cc0a0982b02d61ffec9bb84723ef2248

Aliases

arxiv: 1206.4825 · arxiv_version: 1206.4825v1 · doi: 10.48550/arxiv.1206.4825 · pith_short_12: YGTTKI3UETFD · pith_short_16: YGTTKI3UETFDJUF4 · pith_short_8: YGTTKI3U

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/YGTTKI3UETFDJUF4S232M7733H \
  | 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: c1a735237424ca34d0bc96b7a67ffbd9cc0a0982b02d61ffec9bb84723ef2248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "803fb7106e1ff90805ebf27dfba6eb848eecb4a581168df0b0c8b3a057d67f4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-21T10:22:43Z",
    "title_canon_sha256": "adc0867db002e60fcdc88d333ed44f4c5e50525a5c8be08c2a2e3b247eaa7a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4825",
    "kind": "arxiv",
    "version": 1
  }
}