Pith Number

pith:U4BSA7N7

pith:2009:U4BSA7N7KV27KYIJPHUQWPBE6Q

not attested not anchored not stored refs pending

A variational principle for computing slow invariant manifolds in dissipative dynamical systems

Dirk Lebiedz, Jochen Siehr, Jonas Unger

arxiv:0912.1297 v1 · 2009-12-07 · math.DS · 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{U4BSA7N7KV27KYIJPHUQWPBE6Q}

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	2026-05-18T03:39:43.899597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a703207dbf5575f5610979e90b3c24f421a549c619f73eef2e1cd9cc257093ee

Aliases

arxiv: 0912.1297 · arxiv_version: 0912.1297v1 · doi: 10.48550/arxiv.0912.1297 · pith_short_12: U4BSA7N7KV27 · pith_short_16: U4BSA7N7KV27KYIJ · pith_short_8: U4BSA7N7

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/U4BSA7N7KV27KYIJPHUQWPBE6Q \
  | 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: a703207dbf5575f5610979e90b3c24f421a549c619f73eef2e1cd9cc257093ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abeea0711ea632f34dc7ef8d83554818993b9b41343f68a8cf0600241d00bb34",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-07T17:57:34Z",
    "title_canon_sha256": "d3a0e8f91711ca7a2029139ebee37265fdbbb013f5dc2d91cd99e8c5ca59f762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1297",
    "kind": "arxiv",
    "version": 1
  }
}