Pith Number

pith:QAQUKZBI

pith:2013:QAQUKZBI4LSKRAHACABNEPOXT6

not attested not anchored not stored refs pending

Discrete orbits and special subgroups of $\Diff$

Helena Reis, Julio C. Rebelo

arxiv:1301.3716 v1 · 2013-01-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAQUKZBI4LSKRAHACABNEPOXT6}

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	2026-05-18T03:36:16.928229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8021456428e2e4a880e01002d23dd79f9eff6fa39b65431d3140a8ad1735f362

Aliases

arxiv: 1301.3716 · arxiv_version: 1301.3716v1 · doi: 10.48550/arxiv.1301.3716 · pith_short_12: QAQUKZBI4LSK · pith_short_16: QAQUKZBI4LSKRAHA · pith_short_8: QAQUKZBI

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/QAQUKZBI4LSKRAHACABNEPOXT6 \
  | 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: 8021456428e2e4a880e01002d23dd79f9eff6fa39b65431d3140a8ad1735f362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6402e267e32acf61d6977db368161c5123d5d89dacb6c39effca61228d2f210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-16T15:12:38Z",
    "title_canon_sha256": "77558176e878ba24b4b26e451156696ab2f30aac1c74e8326ddcbcbf4d89576f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3716",
    "kind": "arxiv",
    "version": 1
  }
}