Pith Number

pith:5UXO4GUX

pith:2007:5UXO4GUXULRVLRTXIY4TGZ54UM

not attested not anchored not stored refs pending

Existence and Uniqueness of the Measure of Maximal Entropy for the Teichmueller Flow on the Moduli Space of Abelian Differentials

Alexander I. Bufetov, Boris M. Gurevich

arxiv:math/0703020 v3 · 2007-03-01 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UXO4GUXULRVLRTXIY4TGZ54UM}

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	2026-05-18T02:41:01.837277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2eee1a97a2e355c67746393367bca33114fac94674f8b9b0bd432bbb495a69

Aliases

arxiv: math/0703020 · arxiv_version: math/0703020v3 · doi: 10.48550/arxiv.math/0703020 · pith_short_12: 5UXO4GUXULRV · pith_short_16: 5UXO4GUXULRVLRTX · pith_short_8: 5UXO4GUX

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/5UXO4GUXULRVLRTXIY4TGZ54UM \
  | 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: ed2eee1a97a2e355c67746393367bca33114fac94674f8b9b0bd432bbb495a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7868511e36a391a2a630038a3758b9eb41a4517448165b318b6eada7766f6a37",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2007-03-01T09:06:55Z",
    "title_canon_sha256": "804c9729a2c90b52ec70428f72af07d39abbdf81fb80361b3474e2bfca8ea10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703020",
    "kind": "arxiv",
    "version": 3
  }
}