Pith Number

pith:GS7JQ5BQ

pith:2014:GS7JQ5BQ2MU2QN4F77WKZRHASH

not attested not anchored not stored refs pending

Flat strips, Bowen-Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces

Russell Ricks

arxiv:1410.3921 v2 · 2014-10-15 · math.DS · math.DG · 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{GS7JQ5BQ2MU2QN4F77WKZRHASH}

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	2026-05-18T00:33:32.950781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34be987430d329a83785ffecacc4e091ee1eb334b19f3b2dd3042f5b38b13f78

Aliases

arxiv: 1410.3921 · arxiv_version: 1410.3921v2 · doi: 10.48550/arxiv.1410.3921 · pith_short_12: GS7JQ5BQ2MU2 · pith_short_16: GS7JQ5BQ2MU2QN4F · pith_short_8: GS7JQ5BQ

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/GS7JQ5BQ2MU2QN4F77WKZRHASH \
  | 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: 34be987430d329a83785ffecacc4e091ee1eb334b19f3b2dd3042f5b38b13f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fcee0d9ba708fa12924c7a632ba59ff3fd30dd56e262ff1540268a41143dbac",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-15T04:03:04Z",
    "title_canon_sha256": "ed2c1fc7f0d5ce5eec3af2293415768ce534579df09d7ca2d71ce292bd2b9fcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3921",
    "kind": "arxiv",
    "version": 2
  }
}