Pith Number

pith:WOANM2NJ

pith:2015:WOANM2NJAH5KTB4GIOHVU4OZJO

not attested not anchored not stored refs pending

On a theorem of Halin

Simon M. Smith, Wilfried Imrich

arxiv:1511.04395 v1 · 2015-11-13 · 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{WOANM2NJAH5KTB4GIOHVU4OZJO}

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	2026-05-18T01:26:58.989264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b380d669a901faa98786438f5a71d94b8326be34e8d9ede96b528d0d09c16d06

Aliases

arxiv: 1511.04395 · arxiv_version: 1511.04395v1 · doi: 10.48550/arxiv.1511.04395 · pith_short_12: WOANM2NJAH5K · pith_short_16: WOANM2NJAH5KTB4G · pith_short_8: WOANM2NJ

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/WOANM2NJAH5KTB4GIOHVU4OZJO \
  | 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: b380d669a901faa98786438f5a71d94b8326be34e8d9ede96b528d0d09c16d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04164663e1b36998db21025c003b731284805cf74b69f1042d2beb6ab6684405",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-13T18:41:58Z",
    "title_canon_sha256": "2d99330a11cfb4e01c4f350dbacc22b0ce42866fad16c44a1f522dc2f8e83623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04395",
    "kind": "arxiv",
    "version": 1
  }
}