Pith Number

pith:WXEZKI7P

pith:2012:WXEZKI7PJ77YKIDMA42WLOYRHL

not attested not anchored not stored refs pending

Efficient and optimal binary Hopfield associative memory storage using minimum probability flow

Christopher Hillar, Jascha Sohl-Dickstein, Kilian Koepsell

arxiv:1204.2916 v2 · 2012-04-13 · nlin.AO · 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{WXEZKI7PJ77YKIDMA42WLOYRHL}

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	2026-05-18T02:04:00.691537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c99523ef4fff85206c073565bb113aec199bc3e0bc1ef15b02a62120e44f5b

Aliases

arxiv: 1204.2916 · arxiv_version: 1204.2916v2 · doi: 10.48550/arxiv.1204.2916 · pith_short_12: WXEZKI7PJ77Y · pith_short_16: WXEZKI7PJ77YKIDM · pith_short_8: WXEZKI7P

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/WXEZKI7PJ77YKIDMA42WLOYRHL \
  | 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: b5c99523ef4fff85206c073565bb113aec199bc3e0bc1ef15b02a62120e44f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "586e990f1f7134cff34c10a26128e6eb9d0a3d80fbaf7dbb56fa16d9f96fa91c",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2012-04-13T08:28:53Z",
    "title_canon_sha256": "59a00e785406f5cbab857f3b75b6819d4dfa444a4bfe45dea5a6c26db1d6bfd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2916",
    "kind": "arxiv",
    "version": 2
  }
}