Pith Number

pith:MMC74FNJ

pith:2023:MMC74FNJYMJ3OWPD4ZJVB3OO5A

not attested not anchored not stored refs pending

Nash's bargaining problem and the scale-invariant Hirsch citation index

Josep Freixas, Roger Hoerl, William S. Zwicker

arxiv:2309.01192 v1 · 2023-09-03 · math.CO · 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{MMC74FNJYMJ3OWPD4ZJVB3OO5A}

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	2026-07-05T06:47:34.178677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6305fe15a9c313b759e3e65350edcee83b7b6655c72af9658c1c1fce9849adb6

Aliases

arxiv: 2309.01192 · arxiv_version: 2309.01192v1 · doi: 10.48550/arxiv.2309.01192 · pith_short_12: MMC74FNJYMJ3 · pith_short_16: MMC74FNJYMJ3OWPD · pith_short_8: MMC74FNJ

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/MMC74FNJYMJ3OWPD4ZJVB3OO5A \
  | 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: 6305fe15a9c313b759e3e65350edcee83b7b6655c72af9658c1c1fce9849adb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd2e7d9b663a8293f6463d054ea20ce1be22a9829c61c0fda33766b0b09d8959",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-03T14:40:02Z",
    "title_canon_sha256": "d18c07e49ce7a0ecfd09b340986367762553d12dd3cb1e7dae36c75be63e316b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01192",
    "kind": "arxiv",
    "version": 1
  }
}