Pith Number

pith:PB57O5QZ

pith:2021:PB57O5QZIAB4ZIQBAWH2S55MIG

not attested not anchored not stored refs pending

Eigenvalue spectrum of neural networks with arbitrary Hebbian length

Haiping Huang, Jianwen Zhou, K Y Michael Wong, TianQi Hou, Zijian Jiang, Ziming Chen

arxiv:2103.14324 v1 · 2021-03-26 · cond-mat.dis-nn · cond-mat.stat-mech · 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{PB57O5QZIAB4ZIQBAWH2S55MIG}

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	2026-07-05T03:42:00.226060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787bf776194003cca201058fa977ac41ac730b67335027291ebe452a1764933f

Aliases

arxiv: 2103.14324 · arxiv_version: 2103.14324v1 · doi: 10.48550/arxiv.2103.14324 · pith_short_12: PB57O5QZIAB4 · pith_short_16: PB57O5QZIAB4ZIQB · pith_short_8: PB57O5QZ

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/PB57O5QZIAB4ZIQBAWH2S55MIG \
  | 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: 787bf776194003cca201058fa977ac41ac730b67335027291ebe452a1764933f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28de45cf8558cf6b9c72535b84d05e8b4765b89833ed050458ced33fa425c218",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio.NC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2021-03-26T08:31:05Z",
    "title_canon_sha256": "3d27add6a405928414e2401f94d8cb3944dfbefc6538d1af2aa035ec3dd5c23b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.14324",
    "kind": "arxiv",
    "version": 1
  }
}