Pith Number

pith:ITGANWFO

pith:2014:ITGANWFON34NUWYXXG52LDRHMJ

not attested not anchored not stored refs pending

A geometric control proof of linear Franks' lemma for geodesic flows

Ayadi Lazrag

arxiv:1401.8159 v1 · 2014-01-31 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITGANWFON34NUWYXXG52LDRHMJ}

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	2026-05-18T03:00:28.054966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44cc06d8ae6ef8da5b17b9bba58e276279c9f3456ca0e511e8e51b724f210c32

Aliases

arxiv: 1401.8159 · arxiv_version: 1401.8159v1 · doi: 10.48550/arxiv.1401.8159 · pith_short_12: ITGANWFON34N · pith_short_16: ITGANWFON34NUWYX · pith_short_8: ITGANWFO

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/ITGANWFON34NUWYXXG52LDRHMJ \
  | 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: 44cc06d8ae6ef8da5b17b9bba58e276279c9f3456ca0e511e8e51b724f210c32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26388c21595d74e5bdb4f9ee4734bdffd99f3fab485fbb68d04384bbaf13c5de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-01-31T13:23:05Z",
    "title_canon_sha256": "146fb6c96388c793871b3dd7ce4f1fa05931077fb2574a36d5c2691fee133438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.8159",
    "kind": "arxiv",
    "version": 1
  }
}