Pith Number

pith:A7KXXXCL

pith:2026:A7KXXXCL3LKWYAB3ZDWDPYGJJZ

not attested not anchored not stored refs pending

Equilibria in Large Position-Optimization Games

Anish Thilagar, Mary Monroe, Melody Hsu, Rafael Frongillo

arxiv:2602.15225 v2 · 2026-02-16 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7KXXXCL3LKWYAB3ZDWDPYGJJZ}

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	2026-07-30T01:23:47.376728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

07d57bdc4bdad56c003bc8ec37e0c94e4d5e2abab77f73e79127d1123a1f8dda

Aliases

arxiv: 2602.15225 · arxiv_version: 2602.15225v2 · doi: 10.48550/arxiv.2602.15225 · pith_short_12: A7KXXXCL3LKW · pith_short_16: A7KXXXCL3LKWYAB3 · pith_short_8: A7KXXXCL

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/A7KXXXCL3LKWYAB3ZDWDPYGJJZ \
  | 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: 07d57bdc4bdad56c003bc8ec37e0c94e4d5e2abab77f73e79127d1123a1f8dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eefada5d74ae173b8f03c0954dfe5bc72e39bd1d326c2756a2ac032614f8cb5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-02-16T22:08:52Z",
    "title_canon_sha256": "ec2aa16f8beecbfb0d9a211a70ed6202a948641c213c34fbaab8ebba435a51b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.15225",
    "kind": "arxiv",
    "version": 2
  }
}