Pith Number

pith:IBSBRO7T

pith:2026:IBSBRO7TTCAJIR6MKKPHEWPP3B

not attested not anchored not stored refs pending

Flow Games with Public Arcs: the Least Core and the Nucleolus

Han Xiao, Qizhi Fang, Tianhang Lu

arxiv:2606.23288 v1 · 2026-06-22 · econ.TH · 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{IBSBRO7TTCAJIR6MKKPHEWPP3B}

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	2026-06-23T03:14:15.827928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

406418bbf398809447cc529e7259efd854ef65ac37124214299d71d088320eeb

Aliases

arxiv: 2606.23288 · arxiv_version: 2606.23288v1 · doi: 10.48550/arxiv.2606.23288 · pith_short_12: IBSBRO7TTCAJ · pith_short_16: IBSBRO7TTCAJIR6M · pith_short_8: IBSBRO7T

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/IBSBRO7TTCAJIR6MKKPHEWPP3B \
  | 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: 406418bbf398809447cc529e7259efd854ef65ac37124214299d71d088320eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df4d190ff873783f386ccfb89adb263714f748ef52da00c9c1041ca0bf88bae",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-06-22T13:02:50Z",
    "title_canon_sha256": "3f490111688d0fddb8df6dc2c660aff1c08aaee777284d3cbd1c3fa667dad3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23288",
    "kind": "arxiv",
    "version": 1
  }
}