Pith Number

pith:7CBQK7D5

pith:2018:7CBQK7D5P3OP5U5V7WPUDYWHXV

not attested not anchored not stored refs pending

Asymmetric Hopfield neural network and twisted tetrahedron equation

Dmitry V. Talalaev

arxiv:1806.06680 v1 · 2018-06-18 · math-ph · cs.IT · math.IT · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CBQK7D5P3OP5U5V7WPUDYWHXV}

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	2026-05-18T00:12:59.497639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f883057c7d7edcfed3b5fd9f41e2c7bd562babb16fa798cb16927d4c7213734d

Aliases

arxiv: 1806.06680 · arxiv_version: 1806.06680v1 · doi: 10.48550/arxiv.1806.06680 · pith_short_12: 7CBQK7D5P3OP · pith_short_16: 7CBQK7D5P3OP5U5V · pith_short_8: 7CBQK7D5

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/7CBQK7D5P3OP5U5V7WPUDYWHXV \
  | 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: f883057c7d7edcfed3b5fd9f41e2c7bd562babb16fa798cb16927d4c7213734d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b2e6382d8c639c9d1b50fa18c5e8e3c8d4fce0f3fbf8125bc46b4fc35359e1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-18T13:49:26Z",
    "title_canon_sha256": "27e6ec626c1256bb010dbe98da87f09d9e63adc6958fc6eccb5edf8667517255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06680",
    "kind": "arxiv",
    "version": 1
  }
}