Pith Number

pith:A4QBJKFH

pith:2014:A4QBJKFHGWYC2PCQS67XGR3DEL

not attested not anchored not stored refs pending

Generic measures for geodesic flows on nonpositively curved manifolds

Barbara Schapira (LAMFA), Yves Coudene (LMBA)

arxiv:1401.5282 v1 · 2014-01-21 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4QBJKFHGWYC2PCQS67XGR3DEL}

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	2026-05-18T03:01:34.277062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072014a8a735b02d3c5097bf73476322eee5e1494ddcc6a470e64afa885dd537

Aliases

arxiv: 1401.5282 · arxiv_version: 1401.5282v1 · doi: 10.48550/arxiv.1401.5282 · pith_short_12: A4QBJKFHGWYC · pith_short_16: A4QBJKFHGWYC2PCQ · pith_short_8: A4QBJKFH

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/A4QBJKFHGWYC2PCQS67XGR3DEL \
  | 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: 072014a8a735b02d3c5097bf73476322eee5e1494ddcc6a470e64afa885dd537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdda86b1566fc162d3189fccbd680ec2f40d6da24840bf9f68c2c3dff92167bd",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-21T11:59:00Z",
    "title_canon_sha256": "c398135f1b063cc9853195d6bf1aa205a4b6ff1ba2db9e61aa6ea9d2b744eb89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5282",
    "kind": "arxiv",
    "version": 1
  }
}