Pith Number

pith:ENGNWSS5

pith:2026:ENGNWSS5PKHNCFRNBJP5YUGDXB

not attested not anchored not stored refs pending

Unifying Physical Backpropagation

Cyrill B\"osch, Hakan T\"ureci, Yigithan Gediz

arxiv:2608.11585 v1 · 2026-08-12 · cond-mat.dis-nn · cs.ET · cs.LG · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENGNWSS5PKHNCFRNBJP5YUGDXB}

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	2026-08-13T00:22:14.578744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

234cdb4a5d7a8ed1162d0a5fdc50c3b86c367b4aa6fb32e01856d9a8da52b68b

Aliases

arxiv: 2608.11585 · arxiv_version: 2608.11585v1 · doi: 10.48550/arxiv.2608.11585 · pith_short_12: ENGNWSS5PKHN · pith_short_16: ENGNWSS5PKHNCFRN · pith_short_8: ENGNWSS5

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/ENGNWSS5PKHNCFRNBJP5YUGDXB \
  | 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: 234cdb4a5d7a8ed1162d0a5fdc50c3b86c367b4aa6fb32e01856d9a8da52b68b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2edef622352b1478edaf064d61c34c6504239b3e897c35739d96dcb827e439",
    "cross_cats_sorted": [
      "cs.ET",
      "cs.LG",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-08-12T02:53:39Z",
    "title_canon_sha256": "4386781314fccef46293ae9ff67ffc2386cd8787338c448c729902bec65b5b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11585",
    "kind": "arxiv",
    "version": 1
  }
}