Pith Number

pith:J4NOI4GN

pith:2019:J4NOI4GNSEKJLZT5CFFKGLCE4E

not attested not anchored not stored refs pending

Cooperativity, Absolute Interaction, and Algebraic Optimization

Johannes W. R. Martini, Mohab Safey El Din, Nidhi Kaihnsa, Yue Ren

arxiv:1906.10006 v1 · 2019-06-24 · q-bio.BM · 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{J4NOI4GNSEKJLZT5CFFKGLCE4E}

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	2026-05-17T23:42:18.333269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1ae470cd911495e67d114aa32c44e1329c3309b8b6aa9f156ccb05750f9a1e

Aliases

arxiv: 1906.10006 · arxiv_version: 1906.10006v1 · doi: 10.48550/arxiv.1906.10006 · pith_short_12: J4NOI4GNSEKJ · pith_short_16: J4NOI4GNSEKJLZT5 · pith_short_8: J4NOI4GN

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/J4NOI4GNSEKJLZT5CFFKGLCE4E \
  | 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: 4f1ae470cd911495e67d114aa32c44e1329c3309b8b6aa9f156ccb05750f9a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e0c855956ed817c0520aef5ae3c372c3313e09389209ae2fc47bcc9fd0ea368",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.BM",
    "submitted_at": "2019-06-24T14:58:47Z",
    "title_canon_sha256": "3749ee21bda292dc52a808325660b89cbf6592fb6bc526c600e99537330da68e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10006",
    "kind": "arxiv",
    "version": 1
  }
}