Pith Number

pith:TML7XNMZ

pith:2017:TML7XNMZTIXZ5Z2HQLNNJCN5NP

not attested not anchored not stored refs pending

Networks of open systems

Eugene Lerman

arxiv:1705.04814 v2 · 2017-05-10 · math.OC · math.CT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TML7XNMZTIXZ5Z2HQLNNJCN5NP}

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

Runge-Kutta and Networks

Receipt and verification

First computed	2026-05-18T00:16:32.183556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b17fbb5999a2f9ee74782dad489bd6bcbec9bec3b3d1e8546ec4ccb5754899a

Aliases

arxiv: 1705.04814 · arxiv_version: 1705.04814v2 · doi: 10.48550/arxiv.1705.04814 · pith_short_12: TML7XNMZTIXZ · pith_short_16: TML7XNMZTIXZ5Z2H · pith_short_8: TML7XNMZ

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/TML7XNMZTIXZ5Z2HQLNNJCN5NP \
  | 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: 9b17fbb5999a2f9ee74782dad489bd6bcbec9bec3b3d1e8546ec4ccb5754899a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b55d2cac306128312197a8de58bdfa2570063860a4b0ac96149ebb7fd4b628",
    "cross_cats_sorted": [
      "math.CT",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-10T20:02:12Z",
    "title_canon_sha256": "1111455dee65505e3d35fa9ab7fc98b57a788fd8fa03227064d0de62c5b51b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04814",
    "kind": "arxiv",
    "version": 2
  }
}