Pith Number

pith:G3IGBSY5

pith:2003:G3IGBSY5MDNE6FZWXM4U5EN2H2

not attested not anchored not stored refs pending

The Little-Hopfield model on a Random Graph

I. P\'erez Castillo, N.S. Skantzos

arxiv:cond-mat/0309655 v1 · 2003-09-29 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3IGBSY5MDNE6FZWXM4U5EN2H2}

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	2026-05-18T01:09:02.525007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d060cb1d60da4f1736bb394e91ba3eb26d556ccd4dbb56684249acd06d1a9c

Aliases

arxiv: cond-mat/0309655 · arxiv_version: cond-mat/0309655v1 · doi: 10.48550/arxiv.cond-mat/0309655 · pith_short_12: G3IGBSY5MDNE · pith_short_16: G3IGBSY5MDNE6FZW · pith_short_8: G3IGBSY5

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/G3IGBSY5MDNE6FZWXM4U5EN2H2 \
  | 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: 36d060cb1d60da4f1736bb394e91ba3eb26d556ccd4dbb56684249acd06d1a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04dcc86a2c103d98fab34def69c12ea80df8c91ff011717114ea2ba934e92998",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "2003-09-29T08:51:14Z",
    "title_canon_sha256": "adfe8f4feace9ca5cdaea0462fd19eb5afddcd45855c50a21f74883f14faff59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0309655",
    "kind": "arxiv",
    "version": 1
  }
}