Pith Number

pith:DWNWMMF2

pith:2014:DWNWMMF2WI3WNNMLMNA4ECGCXK

not attested not anchored not stored refs pending

Embedding bounded degree spanning trees in random graphs

Richard Montgomery

arxiv:1405.6559 v2 · 2014-05-26 · 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{DWNWMMF2WI3WNNMLMNA4ECGCXK}

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	2026-05-18T02:48:56.159302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d9b6630bab23766b58b6341c208c2bab454f08c68e9509622bf8eaedb0219ad

Aliases

arxiv: 1405.6559 · arxiv_version: 1405.6559v2 · doi: 10.48550/arxiv.1405.6559 · pith_short_12: DWNWMMF2WI3W · pith_short_16: DWNWMMF2WI3WNNML · pith_short_8: DWNWMMF2

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/DWNWMMF2WI3WNNMLMNA4ECGCXK \
  | 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: 1d9b6630bab23766b58b6341c208c2bab454f08c68e9509622bf8eaedb0219ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f4491ad26c0b624f0b382728f516148c5a8b184a1885efef36106f5bb5bba4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-26T12:59:08Z",
    "title_canon_sha256": "754fa576a51bc683756de2a82fe0f46ea803599fdbb8d1287f741c86ebcfd914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6559",
    "kind": "arxiv",
    "version": 2
  }
}