Pith Number

pith:TMXGNPRP

pith:2004:TMXGNPRPWD2CVP5UAOMESY7VEO

not attested not anchored not stored refs pending

Asymptotic and Lyapunov stability of Poisson equilibria

Juan-Pablo Ortega, Tudor S. Ratiu, V\'ictor Planas-Bielsa

arxiv:math/0404462 v1 · 2004-04-26 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMXGNPRPWD2CVP5UAOMESY7VEO}

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	2026-05-18T01:08:51.606431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2e66be2fb0f42abfb403984963f5238198ccd199df555636f210a8e2c4df14

Aliases

arxiv: math/0404462 · arxiv_version: math/0404462v1 · doi: 10.48550/arxiv.math/0404462 · pith_short_12: TMXGNPRPWD2C · pith_short_16: TMXGNPRPWD2CVP5U · pith_short_8: TMXGNPRP

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/TMXGNPRPWD2CVP5UAOMESY7VEO \
  | 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: 9b2e66be2fb0f42abfb403984963f5238198ccd199df555636f210a8e2c4df14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63d078969d12eb6d3cac2fa995b571625c994e9cdb430aa31f5110e221c2df3",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-04-26T15:38:04Z",
    "title_canon_sha256": "d72939640aba6a85a1e1d4e71bf9500fd624155139a7aa9be3e194234402025b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404462",
    "kind": "arxiv",
    "version": 1
  }
}