Pith Number

pith:TWGD4ENY

pith:2012:TWGD4ENYZG4Z5VWP7I5KD3HTR6

not attested not anchored not stored refs pending

Construction d'op\'erades ensemblistes \`a partir de mono\"ides

Samuele Giraudo

arxiv:1208.0922 v1 · 2012-08-04 · 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{TWGD4ENYZG4Z5VWP7I5KD3HTR6}

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	2026-05-18T03:49:21.112221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d8c3e11b8c9b99ed6cffa3aa1ecf38fa6e52552cbf2f1b6eddb79357b3441a2

Aliases

arxiv: 1208.0922 · arxiv_version: 1208.0922v1 · doi: 10.48550/arxiv.1208.0922 · pith_short_12: TWGD4ENYZG4Z · pith_short_16: TWGD4ENYZG4Z5VWP · pith_short_8: TWGD4ENY

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/TWGD4ENYZG4Z5VWP7I5KD3HTR6 \
  | 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: 9d8c3e11b8c9b99ed6cffa3aa1ecf38fa6e52552cbf2f1b6eddb79357b3441a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7199a2877ffbfd8abaf52e265cc17fedf5fc56f6156dd90b77df0cb27d3476cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-04T12:47:31Z",
    "title_canon_sha256": "488e9cd78f32643881ef36d01c671ffa7ea7b4ccf2cea70dea6ff1e4df7e5935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0922",
    "kind": "arxiv",
    "version": 1
  }
}