Pith Number

pith:3JKLK6LP

pith:2012:3JKLK6LPUS3TH6JU2URBNLT24W

not attested not anchored not stored refs pending

Constraints on automorphism groups of higher dimensional manifolds

Serge Cantat, Turgay Bayraktar

arxiv:1212.3735 v2 · 2012-12-15 · math.CV · math.AG · 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{3JKLK6LPUS3TH6JU2URBNLT24W}

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	2026-05-18T03:22:17.189891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da54b5796fa4b733f934d52216ae7ae59e805db14cbacf8b5d08af77d9040e27

Aliases

arxiv: 1212.3735 · arxiv_version: 1212.3735v2 · doi: 10.48550/arxiv.1212.3735 · pith_short_12: 3JKLK6LPUS3T · pith_short_16: 3JKLK6LPUS3TH6JU · pith_short_8: 3JKLK6LP

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/3JKLK6LPUS3TH6JU2URBNLT24W \
  | 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: da54b5796fa4b733f934d52216ae7ae59e805db14cbacf8b5d08af77d9040e27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e1b956f90211045a478e2f3e85a45dc32763ec944240dfbbc15dec68c9493a8",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-15T22:30:30Z",
    "title_canon_sha256": "3c621a6ae0e1b6f5e23cf5590c5ab5b4b0713252c2fdd7f6d085afdb82383bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3735",
    "kind": "arxiv",
    "version": 2
  }
}