Pith Number

pith:J7QG5H4G

pith:2014:J7QG5H4GV5BVECFY7TIMJAPSKC

not attested not anchored not stored refs pending

Heteroclinic cycles in Hopfield networks

Martin Krupa, Pascal Chossat

arxiv:1411.3909 v1 · 2014-11-14 · 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{J7QG5H4GV5BVECFY7TIMJAPSKC}

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	2026-05-18T01:18:47.957079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe06e9f86af435208b8fcd0c481f250bb2e4149d3a1514a1058992c24234724

Aliases

arxiv: 1411.3909 · arxiv_version: 1411.3909v1 · doi: 10.48550/arxiv.1411.3909 · pith_short_12: J7QG5H4GV5BV · pith_short_16: J7QG5H4GV5BVECFY · pith_short_8: J7QG5H4G

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/J7QG5H4GV5BVECFY7TIMJAPSKC \
  | 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: 4fe06e9f86af435208b8fcd0c481f250bb2e4149d3a1514a1058992c24234724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93958bdeeef6b8e16f5b0faa3331fd22d1b9bab6714826aef151213b0b9952c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-14T13:50:47Z",
    "title_canon_sha256": "dda890514216985e2e016f6a37b58ddf91b178f53fa3802d4d6c7c020caecba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3909",
    "kind": "arxiv",
    "version": 1
  }
}