Pith Number

pith:J3W6GODC

pith:2012:J3W6GODCMDDFQSDK4HPLPUE7Z2

not attested not anchored not stored refs pending

Robust exponential binary pattern storage in Little-Hopfield networks

Christopher Hillar, Kilian Koepsell, Ngoc Tran

arxiv:1206.2081 v3 · 2012-06-11 · q-bio.NC · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3W6GODCMDDFQSDK4HPLPUE7Z2}

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	2026-05-18T02:17:34.107491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eede3386260c658486ae1deb7d09fcea0b555c143a7744a8458d01b86687e1a

Aliases

arxiv: 1206.2081 · arxiv_version: 1206.2081v3 · doi: 10.48550/arxiv.1206.2081 · pith_short_12: J3W6GODCMDDF · pith_short_16: J3W6GODCMDDFQSDK · pith_short_8: J3W6GODC

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/J3W6GODCMDDFQSDK4HPLPUE7Z2 \
  | 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: 4eede3386260c658486ae1deb7d09fcea0b555c143a7744a8458d01b86687e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a60febdb2f6a022b301edb53c9ad2a034658a8eba5fd8080163a345a6aa86f4",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2012-06-11T02:15:22Z",
    "title_canon_sha256": "4bfddf5a7b2f95b6fe0a4eb219b201cccd51a32d23946f7c83c5fb618eba7acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2081",
    "kind": "arxiv",
    "version": 3
  }
}