Pith Number

pith:JLO73HFT

pith:2013:JLO73HFTGGAZX7NFFXEYQSKB56

not attested not anchored not stored refs pending

An extension of Hsiung-Minkowski formulas and its applications

Kwok-Kun Kwong

arxiv:1307.3025 v2 · 2013-07-11 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLO73HFTGGAZX7NFFXEYQSKB56}

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	2026-05-18T02:47:31.529197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4addfd9cb331819bfda52dc9884941ef97b55650c059ba1060fda423c414311b

Aliases

arxiv: 1307.3025 · arxiv_version: 1307.3025v2 · doi: 10.48550/arxiv.1307.3025 · pith_short_12: JLO73HFTGGAZ · pith_short_16: JLO73HFTGGAZX7NF · pith_short_8: JLO73HFT

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/JLO73HFTGGAZX7NFFXEYQSKB56 \
  | 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: 4addfd9cb331819bfda52dc9884941ef97b55650c059ba1060fda423c414311b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1366efd61d428ac93800d8b5b7bcc7a7a3d730528437541a9bbfd1ba56774c1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-11T09:21:38Z",
    "title_canon_sha256": "4999f7044d7b39c25f368009288ad82cd2fb4f87583e7e7189e8c73ccb5b96cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3025",
    "kind": "arxiv",
    "version": 2
  }
}