Pith Number

pith:J5KS3JJU

pith:2021:J5KS3JJUAXOOKWUTZRPLESSBZY

not attested not anchored not stored refs pending

The Backpropagation Algorithm Implemented on Spiking Neuromorphic Hardware

Alpha Renner, Anatoly Zlotnik, Andrew Sornborger, Forrest Sheldon, Louis Tao

arxiv:2106.07030 v2 · 2021-06-13 · cs.NE · cs.AI · cs.LG · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5KS3JJUAXOOKWUTZRPLESSBZY}

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	2026-07-05T09:33:07.042101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f552da53405dce55a93cc5eb24a41ce338756658f349f6ad7b54464888dae96

Aliases

arxiv: 2106.07030 · arxiv_version: 2106.07030v2 · doi: 10.48550/arxiv.2106.07030 · pith_short_12: J5KS3JJUAXOO · pith_short_16: J5KS3JJUAXOOKWUT · pith_short_8: J5KS3JJU

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/J5KS3JJUAXOOKWUTZRPLESSBZY \
  | 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: 4f552da53405dce55a93cc5eb24a41ce338756658f349f6ad7b54464888dae96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb287d81fa296418f67b4a085a508ed59546bfd00d382f29180c1311e2809f2",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2021-06-13T15:56:40Z",
    "title_canon_sha256": "2c5c80c5651d238b9f2d995cc0cb5ed3c30fdfdce7426a1f793864890264de6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.07030",
    "kind": "arxiv",
    "version": 2
  }
}