Pith Number

pith:45V6OQJH

pith:2017:45V6OQJHEOYD77TJCMWHB57OX2

not attested not anchored not stored refs pending

Thermodynamic formalism and the entropy at infinity of the geodesic flow

Anibal Velozo

arxiv:1711.06796 v2 · 2017-11-18 · 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{45V6OQJHEOYD77TJCMWHB57OX2}

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	2026-05-17T23:52:08.228916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76be7412723b03ffe69132c70f7eebeb20b5e516c28838c0b9f015504a14b71

Aliases

arxiv: 1711.06796 · arxiv_version: 1711.06796v2 · doi: 10.48550/arxiv.1711.06796 · pith_short_12: 45V6OQJHEOYD · pith_short_16: 45V6OQJHEOYD77TJ · pith_short_8: 45V6OQJH

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/45V6OQJHEOYD77TJCMWHB57OX2 \
  | 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: e76be7412723b03ffe69132c70f7eebeb20b5e516c28838c0b9f015504a14b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc467ff7282d59e627ddb81dcc973b4bd6722c17924f5c251e2ceeb9d78b1f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-18T02:12:46Z",
    "title_canon_sha256": "b1c9ff4f1adb6e5f480e8cd68667b48a0f52453537040ca2c89f838ac5d57c24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06796",
    "kind": "arxiv",
    "version": 2
  }
}