Pith Number

pith:LU7DELPZ

pith:2010:LU7DELPZIBYGVU3LMGZPMJQODT

not attested not anchored not stored refs pending

Constructive Proof of Global Lyapunov Function as Potential Function

Bo Yuan, Ping Ao, Ruoshi Yuan, Yian Ma

arxiv:1012.2721 v1 · 2010-12-13 · nlin.CD · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LU7DELPZIBYGVU3LMGZPMJQODT}

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.

Cited by

1 paper in Pith

A free energy principle for a particular physics

Receipt and verification

First computed	2026-05-18T02:55:39.565914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3e322df940706ad36b61b2f6260e1cdc0cc12a3aa4c1941a6940a58a02bc6d

Aliases

arxiv: 1012.2721 · arxiv_version: 1012.2721v1 · doi: 10.48550/arxiv.1012.2721 · pith_short_12: LU7DELPZIBYG · pith_short_16: LU7DELPZIBYGVU3L · pith_short_8: LU7DELPZ

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/LU7DELPZIBYGVU3LMGZPMJQODT \
  | 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: 5d3e322df940706ad36b61b2f6260e1cdc0cc12a3aa4c1941a6940a58a02bc6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338d4598714ae0cf7933cd3cae3886bf99e41421276e0ad89264c7225d6ee8f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-12-13T13:13:00Z",
    "title_canon_sha256": "528da1f18dc9f47b741b008d69547402ff3961656da53c652c9d63f339dd3a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2721",
    "kind": "arxiv",
    "version": 1
  }
}