Pith Number

pith:DT7QA6VS

pith:2017:DT7QA6VSGXT2YSNRLCE3C3PMF3

not attested not anchored not stored refs pending

Entropy bifurcation of neural networks on Cayley trees

Chih-Hung Chang, Jung-Chao Ban, Nai-Zhu Huang

arxiv:1706.09283 v2 · 2017-06-27 · 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{DT7QA6VSGXT2YSNRLCE3C3PMF3}

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	2026-05-18T00:22:33.286381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cff007ab235e7ac49b15889b16dec2ef18f4fbe19e54ac2951ed6e98d5580fe

Aliases

arxiv: 1706.09283 · arxiv_version: 1706.09283v2 · doi: 10.48550/arxiv.1706.09283 · pith_short_12: DT7QA6VSGXT2 · pith_short_16: DT7QA6VSGXT2YSNR · pith_short_8: DT7QA6VS

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/DT7QA6VSGXT2YSNRLCE3C3PMF3 \
  | 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: 1cff007ab235e7ac49b15889b16dec2ef18f4fbe19e54ac2951ed6e98d5580fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71e61b77cd4cceb2318bcbbae2df2708b815c577906e040002defbc1aaf42ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-27T03:01:37Z",
    "title_canon_sha256": "ffb0ab698d460ddb7e2347929fb4933b0e03e5991416c9f7235b860a06d28167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09283",
    "kind": "arxiv",
    "version": 2
  }
}