Pith Number

pith:ZPLEJ5UW

pith:2025:ZPLEJ5UW7ZPVWDAHZWZBGBHSRL

not attested not anchored not stored refs pending

Wave propagation phenomena in nonlinear hierarchical neural networks with predictive coding feedback dynamics

Andrea Alamia (CERCO UMR5549), Gr\'egory Faye (IMT), L\'ea Dalli\`es (IMT), Rufin Vanrullen (CERCO UMR5549)

arxiv:2505.09199 v1 · 2025-05-14 · math.AP · 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{ZPLEJ5UW7ZPVWDAHZWZBGBHSRL}

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	2026-07-05T11:02:52.203009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd644f696fe5f5b0c07cdb21304f28ac7074de40d5d012dca3e3f1b116e0bf5

Aliases

arxiv: 2505.09199 · arxiv_version: 2505.09199v1 · doi: 10.48550/arxiv.2505.09199 · pith_short_12: ZPLEJ5UW7ZPV · pith_short_16: ZPLEJ5UW7ZPVWDAH · pith_short_8: ZPLEJ5UW

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/ZPLEJ5UW7ZPVWDAHZWZBGBHSRL \
  | 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: cbd644f696fe5f5b0c07cdb21304f28ac7074de40d5d012dca3e3f1b116e0bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00b7ee46295d0ef3ef1d608f7967d2cc513795ae2d6f60661a034360345a319",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-14T07:22:56Z",
    "title_canon_sha256": "e00141ae8bf86fbc512fa7cc45e015b903a8890b721dfc4314c18c58d5402d60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09199",
    "kind": "arxiv",
    "version": 1
  }
}