Pith Number

pith:CB53KSHA

pith:2015:CB53KSHAVIMOJEMBZQZYAO4VJV

not attested not anchored not stored refs pending

OE and W* superrigidity results for actions by surface braid groups

Ionut Chifan, Yoshikata Kida

arxiv:1502.02391 v2 · 2015-02-09 · math.OA · math.DS · 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{CB53KSHAVIMOJEMBZQZYAO4VJV}

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	2026-05-18T00:44:10.175977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

107bb548e0aa18e49181cc33803b954d68514a0d0558c6a314bad62d27cdd86e

Aliases

arxiv: 1502.02391 · arxiv_version: 1502.02391v2 · doi: 10.48550/arxiv.1502.02391 · pith_short_12: CB53KSHAVIMO · pith_short_16: CB53KSHAVIMOJEMB · pith_short_8: CB53KSHA

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/CB53KSHAVIMOJEMBZQZYAO4VJV \
  | 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: 107bb548e0aa18e49181cc33803b954d68514a0d0558c6a314bad62d27cdd86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee1f29251c6f9ea5675ce31c68bea130b0aa7f01889b1ead6761a82e1f5c4e6",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-02-09T07:43:45Z",
    "title_canon_sha256": "6e11808a0507aa96a81aa8e38ecdbb6c5bf6ebd5a92cb511d01d8621ca4ab8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02391",
    "kind": "arxiv",
    "version": 2
  }
}