Pith Number

pith:M75KVAES

pith:2012:M75KVAESDXPSS4EUUFP44NYPTB

not attested not anchored not stored refs pending

Edge-Fault Tolerance of Hypercube-like Networks

Jun-Ming Xu, Xiang-jun Li

arxiv:1212.4892 v1 · 2012-12-20 · 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{M75KVAESDXPSS4EUUFP44NYPTB}

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	2026-05-18T03:38:04.436573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67faaa80921ddf297094a15fce370f985c3571d1cb6110769fd663d838284338

Aliases

arxiv: 1212.4892 · arxiv_version: 1212.4892v1 · doi: 10.48550/arxiv.1212.4892 · pith_short_12: M75KVAESDXPS · pith_short_16: M75KVAESDXPSS4EU · pith_short_8: M75KVAES

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/M75KVAESDXPSS4EUUFP44NYPTB \
  | 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: 67faaa80921ddf297094a15fce370f985c3571d1cb6110769fd663d838284338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152e1b57e157769b9d469b10f48f97bd865e3aa7b43ee4a7c9032d29aaca6dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-20T00:44:23Z",
    "title_canon_sha256": "925750a2779b655806cbb3a2bdb4ee718c67ea18a2b9750ac4cc5cf4eaef52a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4892",
    "kind": "arxiv",
    "version": 1
  }
}