Pith Number

pith:QNUIEIIM

pith:2013:QNUIEIIMU63VAJBSC7KGOUCFGK

not attested not anchored not stored refs pending

On the genericity of Whitehead minimality

Cyril Nicaud (LIGM), Fr\'ed\'erique Bassino (LIPN), Pascal Weil (LaBRI)

arxiv:1312.4510 v2 · 2013-12-16 · math.GR · cs.CC · 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{QNUIEIIMU63VAJBSC7KGOUCFGK}

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	2026-05-18T00:17:46.718959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836882210ca7b750243217d467504532a3bb1204bb4185b4c7693d81b05062be

Aliases

arxiv: 1312.4510 · arxiv_version: 1312.4510v2 · doi: 10.48550/arxiv.1312.4510 · pith_short_12: QNUIEIIMU63V · pith_short_16: QNUIEIIMU63VAJBS · pith_short_8: QNUIEIIM

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/QNUIEIIMU63VAJBSC7KGOUCFGK \
  | 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: 836882210ca7b750243217d467504532a3bb1204bb4185b4c7693d81b05062be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eb65f3b48420bdfe29deaecc072d850178cf4d507086fd64388cc8cdd4b9218",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-16T20:34:06Z",
    "title_canon_sha256": "5591a12ab915ce4f08e6eb545f3e6d62d827d2324cb6592a2008cb8569fbf537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4510",
    "kind": "arxiv",
    "version": 2
  }
}