Pith Number

pith:PTOLWLQS

pith:2026:PTOLWLQSCAHNDLFQBWLZRDLXVM

not attested not anchored not stored refs pending

Local Synaptic Rules Can Implement a SIGReg Gradient Without Backpropagation

Martin Andrews

arxiv:2607.21622 v1 · 2026-07-03 · cs.NE · cs.AI · cs.CV · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTOLWLQSCAHNDLFQBWLZRDLXVM}

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	2026-07-27T00:20:11.594518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdcbb2e12100ed1acb00d97988d77ab20dc81c313013a0f6919a1dd378d07bf

Aliases

arxiv: 2607.21622 · arxiv_version: 2607.21622v1 · doi: 10.48550/arxiv.2607.21622 · pith_short_12: PTOLWLQSCAHN · pith_short_16: PTOLWLQSCAHNDLFQ · pith_short_8: PTOLWLQS

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/PTOLWLQSCAHNDLFQBWLZRDLXVM \
  | 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: 7cdcbb2e12100ed1acb00d97988d77ab20dc81c313013a0f6919a1dd378d07bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8dfc1fd0a214c280e35b5beb330e9b5ac21eaa9a9740f5fd90f1ef4d12e0f9",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2026-07-03T19:05:26Z",
    "title_canon_sha256": "2e318331f6a3dcab144dbf907ae796c6a2d4ddfa2bf9d2417fe32fd0aa459542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21622",
    "kind": "arxiv",
    "version": 1
  }
}