Pith Number

pith:JII4SKOA

pith:2025:JII4SKOANJVPMAWRQDRPIJQ5ZZ

not attested not anchored not stored refs pending

Extended mean-field theories for networks of real neurons

Christopher W. Lynn, Francesca Mignacco, Luca Di Carlo, William Bialek

arxiv:2504.15197 v1 · 2025-04-21 · physics.bio-ph · cond-mat.stat-mech · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JII4SKOANJVPMAWRQDRPIJQ5ZZ}

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	2026-07-05T10:51:57.680331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a11c929c06a6af602d180e2f4261dce4a06277040a26e0399ec1a9e20421975

Aliases

arxiv: 2504.15197 · arxiv_version: 2504.15197v1 · doi: 10.48550/arxiv.2504.15197 · pith_short_12: JII4SKOANJVP · pith_short_16: JII4SKOANJVPMAWR · pith_short_8: JII4SKOA

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/JII4SKOANJVPMAWRQDRPIJQ5ZZ \
  | 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: 4a11c929c06a6af602d180e2f4261dce4a06277040a26e0399ec1a9e20421975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315640688481d400273cb60ec88d3772e4a2628e4bfe69c49ec1bd0a1a9d554e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio.NC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2025-04-21T16:11:02Z",
    "title_canon_sha256": "c2e5961a33ed2af6c52f4b196a06f76f0e857e2b45bd4b6553cf594372ddf102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15197",
    "kind": "arxiv",
    "version": 1
  }
}