Pith Number

pith:UXZ5PNRS

pith:2026:UXZ5PNRSKEHNYD2C4IFT7YAMON

not attested not anchored not stored refs pending

Theory of collective learning in populations of adaptive agents

Eric Bertin, Gerhard Jung, Johann Asnacios, Misaki Ozawa, Olivier Dauchot

arxiv:2607.02171 v1 · 2026-07-02 · cond-mat.stat-mech · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXZ5PNRSKEHNYD2C4IFT7YAMON}

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	2026-07-03T01:17:43.958820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5f3d7b632510edc0f42e20b3fe00c7351886f895ed7671d3a7f6b4ec799ad91

Aliases

arxiv: 2607.02171 · arxiv_version: 2607.02171v1 · doi: 10.48550/arxiv.2607.02171 · pith_short_12: UXZ5PNRSKEHN · pith_short_16: UXZ5PNRSKEHNYD2C · pith_short_8: UXZ5PNRS

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/UXZ5PNRSKEHNYD2C4IFT7YAMON \
  | 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: a5f3d7b632510edc0f42e20b3fe00c7351886f895ed7671d3a7f6b4ec799ad91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297732d70c7e784970281b143fb26577a7613d7c8aeaef5c154d53819fd73917",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-02T13:43:31Z",
    "title_canon_sha256": "80d124896a4f623d65d013e4383d87873aa70fe5af2639e11df48e5b0bf76a28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02171",
    "kind": "arxiv",
    "version": 1
  }
}