Pith Number

pith:4DIWASEX

pith:2011:4DIWASEXSCGNMKCYUIOAXQNK3H

not attested not anchored not stored refs pending

Cayley graphs of order 30p are hamiltonian

Dave Witte Morris, Ebrahim Ghaderpour

arxiv:1102.5156 v3 · 2011-02-25 · 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{4DIWASEXSCGNMKCYUIOAXQNK3H}

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	2026-05-18T03:52:12.499568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d1604897908cd62858a21c0bc1aad9d90debf638cc06a0d946e2ace822b00d

Aliases

arxiv: 1102.5156 · arxiv_version: 1102.5156v3 · doi: 10.48550/arxiv.1102.5156 · pith_short_12: 4DIWASEXSCGN · pith_short_16: 4DIWASEXSCGNMKCY · pith_short_8: 4DIWASEX

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/4DIWASEXSCGNMKCYUIOAXQNK3H \
  | 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: e0d1604897908cd62858a21c0bc1aad9d90debf638cc06a0d946e2ace822b00d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e8915142bc0576dace7eafd5475e6568a521f06587f3cc71f2d07839335650a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-25T04:52:59Z",
    "title_canon_sha256": "6ee29774e66ca635e8298180dd6e1dc2f1ecbc7b5f5e694082cc297d95cd034c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5156",
    "kind": "arxiv",
    "version": 3
  }
}