Pith Number

pith:XSVMY2FN

pith:2015:XSVMY2FNHQA2J5ELMUAZUSVJX4

not attested not anchored not stored refs pending

Gradient and Passive Circuit Structure in a Class of Non-linear Dynamics on a Graph

Herbert Mangesius, Jean-Charles Delvenne, Sanjoy K. Mitter

arxiv:1508.00237 v3 · 2015-08-02 · math.DS · 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{XSVMY2FNHQA2J5ELMUAZUSVJX4}

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	2026-05-18T01:09:36.551722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcaacc68ad3c01a4f48b65019a4aa9bf01a5f1198241bdaad6ceb446f578005e

Aliases

arxiv: 1508.00237 · arxiv_version: 1508.00237v3 · doi: 10.48550/arxiv.1508.00237 · pith_short_12: XSVMY2FNHQA2 · pith_short_16: XSVMY2FNHQA2J5EL · pith_short_8: XSVMY2FN

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/XSVMY2FNHQA2J5ELMUAZUSVJX4 \
  | 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: bcaacc68ad3c01a4f48b65019a4aa9bf01a5f1198241bdaad6ceb446f578005e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1e5fb20c0967cf45171b59082f38c01557449e1153d290966ee77eb807174a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-02T14:01:16Z",
    "title_canon_sha256": "0e50bccdfc31ed28f17c79d53d47757479b5fdc28b31e92de19ffb05877197ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00237",
    "kind": "arxiv",
    "version": 3
  }
}