Pith Number

pith:PGSMXBKF

pith:2013:PGSMXBKFI5U2V3J2RHZVTDJAQB

not attested not anchored not stored refs pending

Gibbs measures for foliated bundles with negatively curved leaves

S\'ebastien Alvarez

arxiv:1311.3574 v3 · 2013-11-14 · 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{PGSMXBKFI5U2V3J2RHZVTDJAQB}

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	2026-05-18T01:08:21.555067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a4cb85454769aaed3a89f3598d20805bbe9ef84a5309ccf55a67564190b309

Aliases

arxiv: 1311.3574 · arxiv_version: 1311.3574v3 · doi: 10.48550/arxiv.1311.3574 · pith_short_12: PGSMXBKFI5U2 · pith_short_16: PGSMXBKFI5U2V3J2 · pith_short_8: PGSMXBKF

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/PGSMXBKFI5U2V3J2RHZVTDJAQB \
  | 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: 79a4cb85454769aaed3a89f3598d20805bbe9ef84a5309ccf55a67564190b309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62f216da626d0c3e7f652a2f6fc2d991c92de4cbc6ffaffe10367e5f0b7c11b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-14T16:48:24Z",
    "title_canon_sha256": "6fd3ca30230a9eeb406de974c7b77d6685611c2c5e624146b3ce9f2ac799fb93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3574",
    "kind": "arxiv",
    "version": 3
  }
}