Pith Number

pith:VIMFXYY3

pith:2019:VIMFXYY3XDBK4MCOL6FCN2ZIFC

not attested not anchored not stored refs pending

Entropy and drift for Gibbs measures on geometrically finite manifolds

Giulio Tiozzo, Ilya Gekhtman

arxiv:1904.01187 v2 · 2019-04-02 · math.DS · math.GT · 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{VIMFXYY3XDBK4MCOL6FCN2ZIFC}

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	2026-05-17T23:45:20.005647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa185be31bb8c2ae304e5f8a26eb28289b3b1949089362e2451ca07c51567ffe

Aliases

arxiv: 1904.01187 · arxiv_version: 1904.01187v2 · doi: 10.48550/arxiv.1904.01187 · pith_short_12: VIMFXYY3XDBK · pith_short_16: VIMFXYY3XDBK4MCO · pith_short_8: VIMFXYY3

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/VIMFXYY3XDBK4MCOL6FCN2ZIFC \
  | 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: aa185be31bb8c2ae304e5f8a26eb28289b3b1949089362e2451ca07c51567ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64967d9e6271e53523e729924ecdb6aa26b0598f331c5203948d11ba694c2942",
    "cross_cats_sorted": [
      "math.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-02T03:02:33Z",
    "title_canon_sha256": "ab06e650f772d36518fafd38ab62d809da787a77a3328be95281316757da7f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01187",
    "kind": "arxiv",
    "version": 2
  }
}