Pith Number

pith:FWTH7U2P

pith:2013:FWTH7U2PEV3SZY3DWHDB7K4N4W

not attested not anchored not stored refs pending

Gibbs u-states for the foliated geodesic flow and transverse invariant measures

S\'ebastien Alvarez

arxiv:1311.7121 v3 · 2013-11-27 · 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{FWTH7U2PEV3SZY3DWHDB7K4N4W}

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	2026-05-18T00:53:03.128829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2da67fd34f25772ce363b1c61fab8de594016417a1ff6ca3606a770827357971

Aliases

arxiv: 1311.7121 · arxiv_version: 1311.7121v3 · doi: 10.48550/arxiv.1311.7121 · pith_short_12: FWTH7U2PEV3S · pith_short_16: FWTH7U2PEV3SZY3D · pith_short_8: FWTH7U2P

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/FWTH7U2PEV3SZY3DWHDB7K4N4W \
  | 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: 2da67fd34f25772ce363b1c61fab8de594016417a1ff6ca3606a770827357971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215e9f60fcc4eb88229ac742b2bbdc816e920110b599b04c5de608867c2459c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-27T20:45:57Z",
    "title_canon_sha256": "3cc934889bf01de50bfc3e8c64ee8812c1235c8770355fbd6bc234650a68239a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7121",
    "kind": "arxiv",
    "version": 3
  }
}