Pith Number

pith:FI37FWM6

pith:2006:FI37FWM6TQJENAEWQZEHCH4RG3

not attested not anchored not stored refs pending

Bernoulli measures for the Teichmueller flow

Ursula Hamenstaedt

arxiv:math/0607386 v4 · 2006-07-17 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FI37FWM6TQJENAEWQZEHCH4RG3}

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	2026-05-18T04:05:28.331393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a37f2d99e9c124680968648711f9136fd309f2989614976e585454b41b18fde

Aliases

arxiv: math/0607386 · arxiv_version: math/0607386v4 · doi: 10.48550/arxiv.math/0607386 · pith_short_12: FI37FWM6TQJE · pith_short_16: FI37FWM6TQJENAEW · pith_short_8: FI37FWM6

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/FI37FWM6TQJENAEWQZEHCH4RG3 \
  | 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: 2a37f2d99e9c124680968648711f9136fd309f2989614976e585454b41b18fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d663223dceef2a182b064bba619a199294dcc710904ca74fe6ef0717c835c0ce",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-07-17T12:01:16Z",
    "title_canon_sha256": "88ff8b0afbf07be27849bbc9287ecf4e8e8d8f8144fa977b088b4dd9cbf50863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607386",
    "kind": "arxiv",
    "version": 4
  }
}