Pith Number

pith:D4YY5EIT

pith:2026:D4YY5EITW45EPGVMZ6Y3AUMK5U

not attested not anchored not stored refs pending

Prospective Coding and Path Integration Emerge as Equilibrium Solutions of Self-Organizing Neural Networks with Firing-Rate Adaptation

Emilio Kropff, Facundo Emina

arxiv:2606.14649 v2 · 2026-06-12 · q-bio.NC · cond-mat.dis-nn · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4YY5EITW45EPGVMZ6Y3AUMK5U}

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	2026-06-25T00:18:14.414641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f318e9113b73a479aaccfb1b0518aed35440b9d11468a42c56bceb6bd02668f

Aliases

arxiv: 2606.14649 · arxiv_version: 2606.14649v2 · doi: 10.48550/arxiv.2606.14649 · pith_short_12: D4YY5EITW45E · pith_short_16: D4YY5EITW45EPGVM · pith_short_8: D4YY5EIT

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/D4YY5EITW45EPGVMZ6Y3AUMK5U \
  | 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: 1f318e9113b73a479aaccfb1b0518aed35440b9d11468a42c56bceb6bd02668f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e099099480f4a2c29037b2ddebd94268d8503c17b9411b7b379d9a487cde59c7",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2026-06-12T17:11:29Z",
    "title_canon_sha256": "3f865bb1ecd913b51e86ad5ca6f3ade3b15a75a474b2598025c498a6067a7fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.14649",
    "kind": "arxiv",
    "version": 2
  }
}