Pith Number

pith:3JIWAJIS

pith:2025:3JIWAJIS3BFNAC4WOISFQB27PI

not attested not anchored not stored refs pending

Criticality of a Stochastic Dense Associative Memory Model with Exponential Interaction Function

Marco Cafiso, Paolo Paradisi

arxiv:2509.17152 v2 · 2025-09-21 · physics.app-ph · nlin.CD · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JIWAJIS3BFNAC4WOISFQB27PI}

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	2026-06-12T01:09:13.855232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da51602512d84ad00b96722458075f7a35e15eb1acd0f6d488d307467ed1c429

Aliases

arxiv: 2509.17152 · arxiv_version: 2509.17152v2 · doi: 10.48550/arxiv.2509.17152 · pith_short_12: 3JIWAJIS3BFN · pith_short_16: 3JIWAJIS3BFNAC4W · pith_short_8: 3JIWAJIS

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/3JIWAJIS3BFNAC4WOISFQB27PI \
  | 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: da51602512d84ad00b96722458075f7a35e15eb1acd0f6d488d307467ed1c429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d63d67a5b31a9e96573687a83174fa95b5ad1d6766f456fbb9c187462aee0c9c",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2025-09-21T16:48:35Z",
    "title_canon_sha256": "d2fa0512c084b748eb1b17adf1d08bc28961342f1b0340d7c6e4fcd2bd60564c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.17152",
    "kind": "arxiv",
    "version": 2
  }
}