Pith Number

pith:7AFK7GYX

pith:2019:7AFK7GYXFNZE5K7MUHHI55TOFQ

not attested not anchored not stored refs pending

A Note On Orthogonal Decomposition of Finite Games

Changxi Li, Daizhan Cheng, Fenghua He

arxiv:1905.08112 v1 · 2019-05-20 · 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{7AFK7GYXFNZE5K7MUHHI55TOFQ}

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	2026-05-17T23:45:47.575690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80aaf9b172b724eabeca1ce8ef66e2c10a08f935ed7b01b71952e1d849c7366

Aliases

arxiv: 1905.08112 · arxiv_version: 1905.08112v1 · doi: 10.48550/arxiv.1905.08112 · pith_short_12: 7AFK7GYXFNZE · pith_short_16: 7AFK7GYXFNZE5K7M · pith_short_8: 7AFK7GYX

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/7AFK7GYXFNZE5K7MUHHI55TOFQ \
  | 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: f80aaf9b172b724eabeca1ce8ef66e2c10a08f935ed7b01b71952e1d849c7366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0979f5a4bb3d0f84e0ce47d68f64a952e96370e9171b5c82f5cf70ab72c55cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-05-20T13:45:15Z",
    "title_canon_sha256": "d51e571c63259ef61e688cb38bbb9cf4f5b579d495ef3d82f5fdbc21248773ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08112",
    "kind": "arxiv",
    "version": 1
  }
}