Pith Number

pith:ZHSXPQKF

pith:2025:ZHSXPQKFRTIW6HGO5DRGOLLYZB

not attested not anchored not stored refs pending

Hopfield Networks as Models of Emergent Function in Biology

Maria Yampolskaya, Pankaj Mehta

arxiv:2506.13076 v1 · 2025-06-16 · physics.bio-ph · cond-mat.dis-nn · cond-mat.soft · 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{ZHSXPQKFRTIW6HGO5DRGOLLYZB}

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.

Cited by

1 paper in Pith

Epigenetic feedback reshapes dynamical landscapes in gene regulatory networks

Receipt and verification

First computed	2026-07-05T11:22:04.841089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e577c1458cd16f1ccee8e2672d78c86db4b4955abcceda3bc4df7e127274da

Aliases

arxiv: 2506.13076 · arxiv_version: 2506.13076v1 · doi: 10.48550/arxiv.2506.13076 · pith_short_12: ZHSXPQKFRTIW · pith_short_16: ZHSXPQKFRTIW6HGO · pith_short_8: ZHSXPQKF

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/ZHSXPQKFRTIW6HGO5DRGOLLYZB \
  | 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: c9e577c1458cd16f1ccee8e2672d78c86db4b4955abcceda3bc4df7e127274da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8ee202e3a0de16827b1c9ff43de1f4d7e541c79f9d2768fadb93b8df5451cf",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.soft",
      "cond-mat.stat-mech",
      "q-bio.NC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2025-06-16T03:48:49Z",
    "title_canon_sha256": "4d31fdbd25cbeab76e2453d6cfa2d745ae2cbab2e11d55b09b4cdd9e46ed051d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13076",
    "kind": "arxiv",
    "version": 1
  }
}