Pith Number

pith:EGUOVPNZ

pith:2017:EGUOVPNZGC5R3Y7JQ6HJ7XCG4T

not attested not anchored not stored refs pending

Morphisms of Butson classes

Padraig \'O Cath\'ain, Ronan Egan

arxiv:1707.08815 v3 · 2017-07-27 · 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{EGUOVPNZGC5R3Y7JQ6HJ7XCG4T}

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	2026-05-18T00:31:59.567695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a8eabdb930bb1de3e9878e9fdc46e4f64d3985723e11a0aa8c1e4cf1e9b77e

Aliases

arxiv: 1707.08815 · arxiv_version: 1707.08815v3 · doi: 10.48550/arxiv.1707.08815 · pith_short_12: EGUOVPNZGC5R · pith_short_16: EGUOVPNZGC5R3Y7J · pith_short_8: EGUOVPNZ

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/EGUOVPNZGC5R3Y7JQ6HJ7XCG4T \
  | 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: 21a8eabdb930bb1de3e9878e9fdc46e4f64d3985723e11a0aa8c1e4cf1e9b77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd81f2f57a48b9892b089adb4e1d9d469546335dbaf435ab4025a8da4736688",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-27T11:01:18Z",
    "title_canon_sha256": "dafb2924c6af6965badae309239c6abd5f4d3f0116870472bf972e27d07258d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08815",
    "kind": "arxiv",
    "version": 3
  }
}