Pith Number

pith:CIDC3U3J

pith:2011:CIDC3U3JF433QHZEEDBBVUKXTZ

not attested not anchored not stored refs pending

Invariant-based approach to symmetry class detection

Boris Kolev (LATP), Michel Petitot (LIFL), Nicolas Auffray (MSME)

arxiv:1111.0861 v1 · 2011-11-03 · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIDC3U3JF433QHZEEDBBVUKXTZ}

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	2026-05-18T04:09:36.086967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12062dd3692f37b81f2420c21ad1579e626028aab72597635bf5ea1d39ed0950

Aliases

arxiv: 1111.0861 · arxiv_version: 1111.0861v1 · doi: 10.48550/arxiv.1111.0861 · pith_short_12: CIDC3U3JF433 · pith_short_16: CIDC3U3JF433QHZE · pith_short_8: CIDC3U3J

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/CIDC3U3JF433QHZEEDBBVUKXTZ \
  | 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: 12062dd3692f37b81f2420c21ad1579e626028aab72597635bf5ea1d39ed0950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f4e0dc542c28f1e55a1638315f273c74ac040fe0ae5d8d7e9129f1715a136a5",
    "cross_cats_sorted": [
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-03T14:51:09Z",
    "title_canon_sha256": "29531d5797d38fa99c74ff164c50d91661de5001a5049b8fe12ce67fbc991d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0861",
    "kind": "arxiv",
    "version": 1
  }
}