Pith Number

pith:FAO2GSZA

pith:2012:FAO2GSZAUYJ7DD5743MFSXEIGU

not attested not anchored not stored refs pending

Lyapunov 1-form for diffusion processes

Diego S. Ledesma

arxiv:1205.5582 v1 · 2012-05-24 · 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{FAO2GSZAUYJ7DD5743MFSXEIGU}

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	2026-05-18T03:54:59.779894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

281da34b20a613f18fbfe6d8595c88352aa51128d2b0ba8769c3a257b6598261

Aliases

arxiv: 1205.5582 · arxiv_version: 1205.5582v1 · doi: 10.48550/arxiv.1205.5582 · pith_short_12: FAO2GSZAUYJ7 · pith_short_16: FAO2GSZAUYJ7DD57 · pith_short_8: FAO2GSZA

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/FAO2GSZAUYJ7DD5743MFSXEIGU \
  | 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: 281da34b20a613f18fbfe6d8595c88352aa51128d2b0ba8769c3a257b6598261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf171744179803234160af7ecdcf3de89de26ca07e8b4553da075600b3d199c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-24T21:46:52Z",
    "title_canon_sha256": "5a0870fb97a0925944cf0ae1300affe8a179f09d774b759de1c108526958a53c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5582",
    "kind": "arxiv",
    "version": 1
  }
}