Pith Number

pith:NZ5SI53A

pith:2016:NZ5SI53AWSQGTYOBZEP3XR7M7P

not attested not anchored not stored refs pending

All the trajectories of an extended averaged Hebbian learning equation on the quantum state space are the e-geodesics

Yoshio Uwano

arxiv:1601.07983 v2 · 2016-01-29 · 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{NZ5SI53AWSQGTYOBZEP3XR7M7P}

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	2026-05-18T01:20:08.138585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e7b247760b4a069e1c1c91fbbc7ecfbd77a24ab8c464ad3f309937009ade4ac

Aliases

arxiv: 1601.07983 · arxiv_version: 1601.07983v2 · doi: 10.48550/arxiv.1601.07983 · pith_short_12: NZ5SI53AWSQG · pith_short_16: NZ5SI53AWSQGTYOB · pith_short_8: NZ5SI53A

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/NZ5SI53AWSQGTYOBZEP3XR7M7P \
  | 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: 6e7b247760b4a069e1c1c91fbbc7ecfbd77a24ab8c464ad3f309937009ade4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4311e32a0916eaecefa5e9e4899502be73992ed433625b7b3a1d578023d89c50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-29T06:25:30Z",
    "title_canon_sha256": "cc86be08315f123d0a60123d7666e7a8ef705df109d2449a1d7eb64d98defeb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07983",
    "kind": "arxiv",
    "version": 2
  }
}