Pith Number

pith:FNU2AXRI

pith:2012:FNU2AXRI5I4L235PFXGSGHQ274

not attested not anchored not stored refs pending

Ergodic infinite group extensions of geodesic flows on translation surfaces

David Ralston, FRUMAM), IML, Serge Troubetzkoy (CPT

arxiv:1201.3738 v1 · 2012-01-18 · 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{FNU2AXRI5I4L235PFXGSGHQ274}

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	2026-05-18T03:37:05.673827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b69a05e28ea38bd6faf2dcd231e1aff1898e0b0d694ea8adf7cc4d2083dca88

Aliases

arxiv: 1201.3738 · arxiv_version: 1201.3738v1 · doi: 10.48550/arxiv.1201.3738 · pith_short_12: FNU2AXRI5I4L · pith_short_16: FNU2AXRI5I4L235P · pith_short_8: FNU2AXRI

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/FNU2AXRI5I4L235PFXGSGHQ274 \
  | 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: 2b69a05e28ea38bd6faf2dcd231e1aff1898e0b0d694ea8adf7cc4d2083dca88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17303bc34730839fdc5b200c981019ad09068cfb19747d34ef788b135f4475f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-18T10:02:52Z",
    "title_canon_sha256": "e46686d4d3a1fd947ccc7d25889de9472624b5cc75bb2d772319b1a84bf8a62d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3738",
    "kind": "arxiv",
    "version": 1
  }
}