Pith Number

pith:22OYZTIJ

pith:2010:22OYZTIJVN2VBC224HTUK27HW2

not attested not anchored not stored refs pending

Tiling tripartite graphs with 3-colorable graphs: The extreme case

Kirsten Hogenson, Ryan R. Martin, Yi Zhao

arxiv:1001.1002 v4 · 2010-01-06 · 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{22OYZTIJVN2VBC224HTUK27HW2}

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	2026-05-18T00:08:24.480154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d69d8ccd09ab75508b5ae1e7456be7b6a39392bad4f9473b92dc38f36f613bb0

Aliases

arxiv: 1001.1002 · arxiv_version: 1001.1002v4 · doi: 10.48550/arxiv.1001.1002 · pith_short_12: 22OYZTIJVN2V · pith_short_16: 22OYZTIJVN2VBC22 · pith_short_8: 22OYZTIJ

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/22OYZTIJVN2VBC224HTUK27HW2 \
  | 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: d69d8ccd09ab75508b5ae1e7456be7b6a39392bad4f9473b92dc38f36f613bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed91ce5e1df3ac58898906b33ccc0141e370b241ecfa6f2f6e171307623292e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-06T22:18:39Z",
    "title_canon_sha256": "5e0b43503b6ce6ed22596a22c5ea629f372ee6e588e022ec145272a3163a00a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1002",
    "kind": "arxiv",
    "version": 4
  }
}