Pith Number

pith:BRIOB4LJ

pith:2016:BRIOB4LJX42WRYSLWRUKLTJBZV

not attested not anchored not stored refs pending

Finiteness of gibbs measures on noncompact manifolds with pinched negative curvature

Barbara Schapira (IRMAR), Vincent Pit (UFRJ)

arxiv:1610.03255 v1 · 2016-10-11 · 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{BRIOB4LJX42WRYSLWRUKLTJBZV}

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.

Cited by

1 paper in Pith

Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems

Receipt and verification

First computed	2026-05-18T01:02:35.893084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c50e0f169bf3568e24bb468a5cd21cd424343d98b87f60c266ddf6103a317a5

Aliases

arxiv: 1610.03255 · arxiv_version: 1610.03255v1 · doi: 10.48550/arxiv.1610.03255 · pith_short_12: BRIOB4LJX42W · pith_short_16: BRIOB4LJX42WRYSL · pith_short_8: BRIOB4LJ

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/BRIOB4LJX42WRYSLWRUKLTJBZV \
  | 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: 0c50e0f169bf3568e24bb468a5cd21cd424343d98b87f60c266ddf6103a317a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5903a7729d5d354d52a46d5560b338755ae71c9b2fc7684dc4300d4230fcdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-11T09:43:27Z",
    "title_canon_sha256": "ceba66c98e614067471ec553728b1719f4cbeef62c6d81283d46b5e1c2adab99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03255",
    "kind": "arxiv",
    "version": 1
  }
}