Pith Number

pith:XAJOM6RQ

pith:2012:XAJOM6RQULIBFO33B45UMZAZLX

not attested not anchored not stored refs pending

Infinitesimal Lyapunov functions for singular flows

Luciana Salgado, Vitor Araujo

arxiv:1201.2550 v9 · 2012-01-12 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAJOM6RQULIBFO33B45UMZAZLX}

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	2026-05-18T02:19:06.548866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b812e67a30a2d012bb7b0f3b4664195de54628f8f62b52f68b44ca8a6129c52d

Aliases

arxiv: 1201.2550 · arxiv_version: 1201.2550v9 · doi: 10.48550/arxiv.1201.2550 · pith_short_12: XAJOM6RQULIB · pith_short_16: XAJOM6RQULIBFO33 · pith_short_8: XAJOM6RQ

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/XAJOM6RQULIBFO33B45UMZAZLX \
  | 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: b812e67a30a2d012bb7b0f3b4664195de54628f8f62b52f68b44ca8a6129c52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5cdb0deb725bc44fe46a264c9b860308711a43dfb73f93b373899c13bb41f8e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-12T12:51:20Z",
    "title_canon_sha256": "afe52e4f9a16b3466a919d679febb9d45f61dd835a0828daf35c9016c73b8861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2550",
    "kind": "arxiv",
    "version": 9
  }
}