Pith Number

pith:PTCTWA7K

pith:2017:PTCTWA7KBUNLA4RJ2KKOGSFVGA

not attested not anchored not stored refs pending

Long cycles in Hamiltonian graphs

Ant\'onio Gir\~ao, Bhargav Narayanan, Teeradej Kittipassorn

arxiv:1709.04895 v2 · 2017-09-14 · 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{PTCTWA7KBUNLA4RJ2KKOGSFVGA}

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	2026-05-18T00:35:03.332923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc53b03ea0d1ab07229d294e348b53004db9f3b50c9b43d1ef749238f63eda1

Aliases

arxiv: 1709.04895 · arxiv_version: 1709.04895v2 · doi: 10.48550/arxiv.1709.04895 · pith_short_12: PTCTWA7KBUNL · pith_short_16: PTCTWA7KBUNLA4RJ · pith_short_8: PTCTWA7K

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/PTCTWA7KBUNLA4RJ2KKOGSFVGA \
  | 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: 7cc53b03ea0d1ab07229d294e348b53004db9f3b50c9b43d1ef749238f63eda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23feacee37034e5b364837374fad8b95fa0b7c03fc07cc31b44795980c30422",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-14T17:34:28Z",
    "title_canon_sha256": "7365f85626e94930fb7a164660b413dbe5e4d1bd4320077a1c38e3bf325964ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04895",
    "kind": "arxiv",
    "version": 2
  }
}