Pith Number

pith:4OAUMIFU

pith:2013:4OAUMIFUXM7BLBOD3QUTXDG2OB

not attested not anchored not stored refs pending

The pressure metric for Anosov representations

Andres Sambarino, Francois Labourie, Martin Bridgeman, Richard Canary

arxiv:1301.7459 v4 · 2013-01-30 · 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{4OAUMIFUXM7BLBOD3QUTXDG2OB}

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

Geodesic currents of coarse negative curvature

Receipt and verification

First computed	2026-05-18T02:28:12.288839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3814620b4bb3e1585c3dc293b8cda70783f4c8b163e514657e81d5848d72906

Aliases

arxiv: 1301.7459 · arxiv_version: 1301.7459v4 · doi: 10.48550/arxiv.1301.7459 · pith_short_12: 4OAUMIFUXM7B · pith_short_16: 4OAUMIFUXM7BLBOD · pith_short_8: 4OAUMIFU

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/4OAUMIFUXM7BLBOD3QUTXDG2OB \
  | 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: e3814620b4bb3e1585c3dc293b8cda70783f4c8b163e514657e81d5848d72906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8cfac51abd4e67ba50e02d6cc03e8b2f517be2040ce9b1e1f9bc459507869da",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-30T22:54:18Z",
    "title_canon_sha256": "cedd0032881b693863295045cb31ae297e43ca42ed24208606a61379af15765a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7459",
    "kind": "arxiv",
    "version": 4
  }
}