Pith Number

pith:5ZC6CXRA

pith:2019:5ZC6CXRATMKUETXPQZVU74NTXC

not attested not anchored not stored refs pending

Semicooperation under curved strategy spacetime

Alan M. Polansky, Paramahansa Pramanik

arxiv:1912.12146 v1 · 2019-12-27 · math.OC · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZC6CXRATMKUETXPQZVU74NTXC}

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	2026-07-05T00:28:40.697998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee45e15e209b15424eef866b4ff1b3b89155cc88ad4d3007780c9620b26ca76b

Aliases

arxiv: 1912.12146 · arxiv_version: 1912.12146v1 · doi: 10.48550/arxiv.1912.12146 · pith_short_12: 5ZC6CXRATMKU · pith_short_16: 5ZC6CXRATMKUETXP · pith_short_8: 5ZC6CXRA

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/5ZC6CXRATMKUETXPQZVU74NTXC \
  | 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: ee45e15e209b15424eef866b4ff1b3b89155cc88ad4d3007780c9620b26ca76b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0343cb0107205140e84f0d9dfdd6e16f295b630c4d101f1f7b3add4aa04453de",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-12-27T15:13:22Z",
    "title_canon_sha256": "3dd55eb1189530785b0137e42715b5fc125b4ce8599943a5c844c1d75a687aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12146",
    "kind": "arxiv",
    "version": 1
  }
}