Pith Number

pith:VY6LSUMM

pith:2018:VY6LSUMM2G6OGYR4V7HXR2DRRY

not attested not anchored not stored refs pending

Combinatorial Hopf algebra for interconnected nonlinear systems

Kurusch Ebrahimi-Fard, Luis A. Duffaut Espinosa, W. Steven Gray

arxiv:1805.02954 v1 · 2018-05-08 · math.OC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VY6LSUMM2G6OGYR4V7HXR2DRRY}

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	2026-05-17T23:49:17.677048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3cb9518cd1bce3623cafcf78e8718e30b92597eb7bb35c72e92d008736d8d5

Aliases

arxiv: 1805.02954 · arxiv_version: 1805.02954v1 · doi: 10.48550/arxiv.1805.02954 · pith_short_12: VY6LSUMM2G6O · pith_short_16: VY6LSUMM2G6OGYR4 · pith_short_8: VY6LSUMM

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/VY6LSUMM2G6OGYR4V7HXR2DRRY \
  | 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: ae3cb9518cd1bce3623cafcf78e8718e30b92597eb7bb35c72e92d008736d8d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca05b9b2ce3f39a4d42b1d2ed0971d076c60880eaa52dc56b020cff2530650e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-08T11:47:17Z",
    "title_canon_sha256": "83bd837c9dd0c159bbadc8c9ea46061c4f4527957a79fee7a14cf54c90a2d10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02954",
    "kind": "arxiv",
    "version": 1
  }
}