Pith Number

pith:EPVYL63V

pith:2011:EPVYL63VJAD5LCUXJGKWM3LYL4

not attested not anchored not stored refs pending

Tree statistics from Matula numbers

Emeric Deutsch

arxiv:1111.4288 v1 · 2011-11-18 · 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{EPVYL63VJAD5LCUXJGKWM3LYL4}

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	2026-05-18T04:08:04.643059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23eb85fb754807d58a974995666d785f21dba80c9b9152663e0ff8535ebdfe69

Aliases

arxiv: 1111.4288 · arxiv_version: 1111.4288v1 · doi: 10.48550/arxiv.1111.4288 · pith_short_12: EPVYL63VJAD5 · pith_short_16: EPVYL63VJAD5LCUX · pith_short_8: EPVYL63V

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/EPVYL63VJAD5LCUXJGKWM3LYL4 \
  | 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: 23eb85fb754807d58a974995666d785f21dba80c9b9152663e0ff8535ebdfe69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "587885922a4a2594dd208ace1051ea976bbf730b2ba941a66ff981f39ccd56be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-18T05:32:58Z",
    "title_canon_sha256": "d1100fecad5349e799a53ad6ef7a8d9b8695909d92df09aea38cf143a1757baa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4288",
    "kind": "arxiv",
    "version": 1
  }
}