Pith Number

pith:Y5J7VCOO

pith:2024:Y5J7VCOO23IWWRUZ7EAG4LBYI3

not attested not anchored not stored refs pending

Structure fault diameter of hypercubes

Cheng-Kuan Lin, Eminjan Sabir, Honggang Zhao

arxiv:2412.09885 v3 · 2024-12-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5J7VCOO23IWWRUZ7EAG4LBYI3}

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	2026-07-31T01:32:13.812831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

c753fa89ced6d16b4699f9006e2c3846e23efe900aec96cdc4a96b50515b3e33

Aliases

arxiv: 2412.09885 · arxiv_version: 2412.09885v3 · doi: 10.48550/arxiv.2412.09885 · pith_short_12: Y5J7VCOO23IW · pith_short_16: Y5J7VCOO23IWWRUZ · pith_short_8: Y5J7VCOO

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/Y5J7VCOO23IWWRUZ7EAG4LBYI3 \
  | 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: c753fa89ced6d16b4699f9006e2c3846e23efe900aec96cdc4a96b50515b3e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e8078c64bb847ccb3392e85d2eb5cad4806cd40809fef46dc7329c00b962a22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-13T05:58:33Z",
    "title_canon_sha256": "d14a5a6de07743e36703e343c7ee94c67fbe634880bf21962c9c0d460ad580fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09885",
    "kind": "arxiv",
    "version": 3
  }
}