Pith Number

pith:IAXDNIML

pith:2014:IAXDNIMLWCAENAXR7VZBY7AFWG

not attested not anchored not stored refs pending

On Lyapunov functions and gradient flow structures in linear consensus systems

Herbert Mangesius, Jean-Charles Delvenne

arxiv:1412.6794 v2 · 2014-12-21 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAXDNIMLWCAENAXR7VZBY7AFWG}

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	2026-05-18T02:29:54.607386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

402e36a18bb0804682f1fd721c7c05b19d8984fdbea54c73ed9d6727db263bf2

Aliases

arxiv: 1412.6794 · arxiv_version: 1412.6794v2 · doi: 10.48550/arxiv.1412.6794 · pith_short_12: IAXDNIMLWCAE · pith_short_16: IAXDNIMLWCAENAXR · pith_short_8: IAXDNIML

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/IAXDNIMLWCAENAXR7VZBY7AFWG \
  | 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: 402e36a18bb0804682f1fd721c7c05b19d8984fdbea54c73ed9d6727db263bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9408d526da039b3f75000a7db1df009f38cc5a957b536b77c54efdab1a8d0505",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-21T14:59:35Z",
    "title_canon_sha256": "d81d0d0c1d973bb1ff258b8a37e37da024320c9697169fd5cf72947632dda3e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6794",
    "kind": "arxiv",
    "version": 2
  }
}