Pith Number

pith:XTZCBDRS

pith:2012:XTZCBDRSSJ3L4OGNK3MFNDLELM

not attested not anchored not stored refs pending

On Posa's conjecture for random graphs

Daniela K\"uhn, Deryk Osthus

arxiv:1203.6310 v2 · 2012-03-28 · 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{XTZCBDRSSJ3L4OGNK3MFNDLELM}

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	2026-05-18T03:49:58.035981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf2208e329276be38cd56d8568d645b02ab307360a03eae0fe146a3cb76e943

Aliases

arxiv: 1203.6310 · arxiv_version: 1203.6310v2 · doi: 10.48550/arxiv.1203.6310 · pith_short_12: XTZCBDRSSJ3L · pith_short_16: XTZCBDRSSJ3L4OGN · pith_short_8: XTZCBDRS

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/XTZCBDRSSJ3L4OGNK3MFNDLELM \
  | 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: bcf2208e329276be38cd56d8568d645b02ab307360a03eae0fe146a3cb76e943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2902d0f368f26be87654464d505737246fe201e379af416a9fe3b30e945e139c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-28T16:42:26Z",
    "title_canon_sha256": "20e270ad69395e46fb531e88fb77412837a3da77c42119dde830dc7a8b736688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6310",
    "kind": "arxiv",
    "version": 2
  }
}