Pith Number

pith:S53MOYOQ

pith:2025:S53MOYOQT3WK5UBIWMUGZNK2ZL

not attested not anchored not stored refs pending

The Hamilton cycle space of random graphs

Dan Hefetz, Michael Krivelevich

arxiv:2506.19731 v2 · 2025-06-24 · 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{S53MOYOQT3WK5UBIWMUGZNK2ZL}

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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.

Cited by

1 paper in Pith

On graphs whose cycle space is spanned by their Hamilton cycles

Receipt and verification

First computed	2026-07-05T11:32:31.946990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9776c761d09eecaed028b3286cb55acac526cc231fc32c78b0e3c67686b20516

Aliases

arxiv: 2506.19731 · arxiv_version: 2506.19731v2 · doi: 10.48550/arxiv.2506.19731 · pith_short_12: S53MOYOQT3WK · pith_short_16: S53MOYOQT3WK5UBI · pith_short_8: S53MOYOQ

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/S53MOYOQT3WK5UBIWMUGZNK2ZL \
  | 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: 9776c761d09eecaed028b3286cb55acac526cc231fc32c78b0e3c67686b20516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bdef8feabe2df6b0b886346fde0401a70a3fc2f97c35d110c31d76cf1e072d5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-24T15:49:24Z",
    "title_canon_sha256": "fce3bc260b094f84986c3a5d0d3f0ab3b8e2066ad7c68193f71398c1f0f1bebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19731",
    "kind": "arxiv",
    "version": 2
  }
}