Pith Number

pith:CYEWLRWA

pith:2012:CYEWLRWANSE3IRL77FRUCGJUCP

not attested not anchored not stored refs pending

Small doubling in ordered semigroups

Salvatore Tringali

arxiv:1208.3233 v7 · 2012-08-15 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYEWLRWANSE3IRL77FRUCGJUCP}

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	2026-05-18T02:28:21.201951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

160965c6c06c89b4457ff96341193413f441060e89c6ffe8929ce3bc36d92c3c

Aliases

arxiv: 1208.3233 · arxiv_version: 1208.3233v7 · doi: 10.48550/arxiv.1208.3233 · pith_short_12: CYEWLRWANSE3 · pith_short_16: CYEWLRWANSE3IRL7 · pith_short_8: CYEWLRWA

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/CYEWLRWANSE3IRL77FRUCGJUCP \
  | 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: 160965c6c06c89b4457ff96341193413f441060e89c6ffe8929ce3bc36d92c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac4a1ada1529f19c8257966b550477fda776a186d9f459a606b6fb8079b076d4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-15T21:47:07Z",
    "title_canon_sha256": "3781126a94af09985ef530960885e1b9cd69373c51f7ce1f555faa2fbc1795fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3233",
    "kind": "arxiv",
    "version": 7
  }
}