Pith Number

pith:ASLWJIFA

pith:2026:ASLWJIFAKXFCBT6ELJEOM5B25Y

not attested not anchored not stored refs pending

Equilibrium with Internal Transfers

Asuman Ozdaglar, Gabriele Farina, Mingyang Liu

arxiv:2606.20960 v1 · 2026-06-18 · cs.GT · cs.LG · 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{ASLWJIFAKXFCBT6ELJEOM5B25Y}

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	2026-06-23T01:12:23.321490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

049764a0a055ca20cfc45a48e6743aee2bf925031cd70bf291556092d7c0dcc5

Aliases

arxiv: 2606.20960 · arxiv_version: 2606.20960v1 · doi: 10.48550/arxiv.2606.20960 · pith_short_12: ASLWJIFAKXFC · pith_short_16: ASLWJIFAKXFCBT6E · pith_short_8: ASLWJIFA

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/ASLWJIFAKXFCBT6ELJEOM5B25Y \
  | 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: 049764a0a055ca20cfc45a48e6743aee2bf925031cd70bf291556092d7c0dcc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d50777a832984954a3b8ac80fa58914222dcc24116581b4e2f40459f094125",
    "cross_cats_sorted": [
      "cs.LG",
      "econ.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-18T21:56:24Z",
    "title_canon_sha256": "3dd2a2c58f321dfb17ab79d5b74158d5f95e85793aa21dc72882693c7ec0c237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20960",
    "kind": "arxiv",
    "version": 1
  }
}