Pith Number

pith:OR2FBHI5

pith:2012:OR2FBHI5H273DENAQTVEXHCD6X

not attested not anchored not stored refs pending

Edge-decomposition of graphs into copies of a tree with four edges

D\'aniel Gerbner, J\'anos Bar\'at

arxiv:1203.1671 v1 · 2012-03-08 · 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{OR2FBHI5H273DENAQTVEXHCD6X}

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	2026-05-18T04:00:37.301810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7474509d1d3ebfb191a084ea4b9c43f5d9d96acaa09e921a1fdd6092c94d9c6a

Aliases

arxiv: 1203.1671 · arxiv_version: 1203.1671v1 · doi: 10.48550/arxiv.1203.1671 · pith_short_12: OR2FBHI5H273 · pith_short_16: OR2FBHI5H273DENA · pith_short_8: OR2FBHI5

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/OR2FBHI5H273DENAQTVEXHCD6X \
  | 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: 7474509d1d3ebfb191a084ea4b9c43f5d9d96acaa09e921a1fdd6092c94d9c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f90358ce8abb30d388127d5591557ffa955fc3632980b9ff4b0dc75f26efbf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-08T00:42:06Z",
    "title_canon_sha256": "f41904a4d7444dc50ebc70a5a67407af1e350f3f2ae0a74d430d50dc3b962d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1671",
    "kind": "arxiv",
    "version": 1
  }
}