Pith Number

pith:OMZRCFUZ

pith:2026:OMZRCFUZPCFY5EDFE2DZKXKEOB

not attested not anchored not stored refs pending

Bending, entropy and proper affine actions of surface groups

Andres Sambarino, Martin Bridgeman, Richard Canary

arxiv:2602.20146 v2 · 2026-02-23 · math.GT · 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{OMZRCFUZPCFY5EDFE2DZKXKEOB}

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	2026-06-05T01:14:35.755071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7333111699788b8e90652687955d44706c64e01b526147e4da3fecd21e1b6294

Aliases

arxiv: 2602.20146 · arxiv_version: 2602.20146v2 · doi: 10.48550/arxiv.2602.20146 · pith_short_12: OMZRCFUZPCFY · pith_short_16: OMZRCFUZPCFY5EDF · pith_short_8: OMZRCFUZ

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/OMZRCFUZPCFY5EDFE2DZKXKEOB \
  | 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: 7333111699788b8e90652687955d44706c64e01b526147e4da3fecd21e1b6294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50adfa7bd615182a4ce0688ad6afca08cd691fe5ef6f04b7b28447c5dddfe167",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-02-23T18:56:19Z",
    "title_canon_sha256": "d39cb02c41843be3afeb606cd78e9cb00f0443f1b3dfbdeb99824daaa86b441d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.20146",
    "kind": "arxiv",
    "version": 2
  }
}