Pith Number

pith:R7UOKPN2

pith:2012:R7UOKPN2SH22DRPHSU626CSHJ7

not attested not anchored not stored refs pending

Positive graphs

Endre Cs\'oka, G\'abor Lippner, L\'aszl\'o Lov\'asz, Omar Antol\'in Camarena, Tam\'as Hubai

arxiv:1205.6510 v2 · 2012-05-29 · 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{R7UOKPN2SH22DRPHSU626CSHJ7}

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	2026-05-18T03:00:39.898244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe8e53dba91f5a1c5e7953daf0a474fc4b99ab08925ff0e1ffa46e7759bbbb3

Aliases

arxiv: 1205.6510 · arxiv_version: 1205.6510v2 · doi: 10.48550/arxiv.1205.6510 · pith_short_12: R7UOKPN2SH22 · pith_short_16: R7UOKPN2SH22DRPH · pith_short_8: R7UOKPN2

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/R7UOKPN2SH22DRPHSU626CSHJ7 \
  | 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: 8fe8e53dba91f5a1c5e7953daf0a474fc4b99ab08925ff0e1ffa46e7759bbbb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d784d87844d99f5a6da9440fe3023b978d71bd807b369606ad060c014a808b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-29T22:29:47Z",
    "title_canon_sha256": "4fea73de2d44aa86921803d0e77c274b1c09d1870086ab8745340805d0f566aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6510",
    "kind": "arxiv",
    "version": 2
  }
}