Pith Number

pith:C6DFELVN

pith:2014:C6DFELVNXRF4MORLLIJ3P7YTFE

not attested not anchored not stored refs pending

Robust exponential memory in Hopfield networks

Christopher Hillar, Ngoc M. Tran

arxiv:1411.4625 v2 · 2014-11-17 · nlin.AO · math-ph · math.MP · 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{C6DFELVNXRF4MORLLIJ3P7YTFE}

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	2026-05-18T01:55:52.948995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1786522eadbc4bc63a2b5a13b7ff1329276c5ba57dad2577d94b0a3a5e7615ba

Aliases

arxiv: 1411.4625 · arxiv_version: 1411.4625v2 · doi: 10.48550/arxiv.1411.4625 · pith_short_12: C6DFELVNXRF4 · pith_short_16: C6DFELVNXRF4MORL · pith_short_8: C6DFELVN

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/C6DFELVNXRF4MORLLIJ3P7YTFE \
  | 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: 1786522eadbc4bc63a2b5a13b7ff1329276c5ba57dad2577d94b0a3a5e7615ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b0356faf5f40cdac5e4b092f991be7a2df5ec52c14d0853d3e6f8509cca165a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2014-11-17T20:25:07Z",
    "title_canon_sha256": "edf89489f764cf3876a45b04e11610f0878c25d036eeefc527f1ce8a664f3bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4625",
    "kind": "arxiv",
    "version": 2
  }
}