Pith Number

pith:VLLHGYET

pith:2016:VLLHGYETWNA2DF5OSFYYBOTC6X

not attested not anchored not stored refs pending

Strengthening theorems of Dirac and Erd\H{o}s on disjoint cycles

Alexandr V. Kostochka, Andrew McConvey, Henry A. Kierstead

arxiv:1602.02461 v1 · 2016-02-08 · 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{VLLHGYETWNA2DF5OSFYYBOTC6X}

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	2026-05-18T01:21:09.864333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad6736093b341a197ae917180ba62f5f0697f4935d10c8775e809868882bc41

Aliases

arxiv: 1602.02461 · arxiv_version: 1602.02461v1 · doi: 10.48550/arxiv.1602.02461 · pith_short_12: VLLHGYETWNA2 · pith_short_16: VLLHGYETWNA2DF5O · pith_short_8: VLLHGYET

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/VLLHGYETWNA2DF5OSFYYBOTC6X \
  | 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: aad6736093b341a197ae917180ba62f5f0697f4935d10c8775e809868882bc41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd8b56cc8056247e9982be4fe38223a6ee4d4fd5dd5b03e71b4aa8b4f8a2874",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-08T04:06:45Z",
    "title_canon_sha256": "3087f9b43b602d9fdbbebeb35098c5718c71e7cdddeb585997eef69ffe54e2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02461",
    "kind": "arxiv",
    "version": 1
  }
}