Pith Number

pith:Y5ES3GX7

pith:2013:Y5ES3GX7QH6REPRA5A2XDUXHUZ

not attested not anchored not stored refs pending

Nash Williams Conjecture and the Dominating Cycle Conjecture

Arthur Hoffmann-Ostenhof

arxiv:1305.3951 v3 · 2013-05-16 · 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{Y5ES3GX7QH6REPRA5A2XDUXHUZ}

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	2026-05-18T01:35:33.162057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7492d9aff81fd123e20e83571d2e7a649656072e8ddb6d3ebf0c648fad83ab8

Aliases

arxiv: 1305.3951 · arxiv_version: 1305.3951v3 · doi: 10.48550/arxiv.1305.3951 · pith_short_12: Y5ES3GX7QH6R · pith_short_16: Y5ES3GX7QH6REPRA · pith_short_8: Y5ES3GX7

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/Y5ES3GX7QH6REPRA5A2XDUXHUZ \
  | 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: c7492d9aff81fd123e20e83571d2e7a649656072e8ddb6d3ebf0c648fad83ab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5054fbcf5474d7d0b6268fad15c3c51ba18e9877c58bbe6109feb420f20f5653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-16T23:33:42Z",
    "title_canon_sha256": "09842d0c3c2169eca7d1474f159d7a8feddcbf2fa382571cc216e8882b2d6b75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3951",
    "kind": "arxiv",
    "version": 3
  }
}