Pith Number

pith:7I7H6EBW

pith:2026:7I7H6EBWP32V3ULGLFAO4WXHVL

not attested not anchored not stored refs pending

Multi-Player Discrete-Bidding Games; Determinacy, Equilibria, and Complexity

Fatima Murra, Guy Avni

arxiv:2607.27456 v1 · 2026-07-29 · cs.GT · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7I7H6EBWP32V3ULGLFAO4WXHVL}

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	2026-07-31T00:12:13.173178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

fa3e7f10367ef55dd1665940ee5ae7aafe4ad44c087b60ae7374fd8d776f039a

Aliases

arxiv: 2607.27456 · arxiv_version: 2607.27456v1 · doi: 10.48550/arxiv.2607.27456 · pith_short_12: 7I7H6EBWP32V · pith_short_16: 7I7H6EBWP32V3ULG · pith_short_8: 7I7H6EBW

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/7I7H6EBWP32V3ULGLFAO4WXHVL \
  | 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: fa3e7f10367ef55dd1665940ee5ae7aafe4ad44c087b60ae7374fd8d776f039a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d1e59746b8a4f055ae928931c5ead8c354384f676b43947727a45d6218c695",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-29T20:45:06Z",
    "title_canon_sha256": "00baf6cc0bfcab9d9ecd4e872eae2ba47f4e023edb48b9c54ac9345d927379ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27456",
    "kind": "arxiv",
    "version": 1
  }
}