Pith Number

pith:HA463VZR

pith:2016:HA463VZRRATTRLXJUWV3LSCPT7

not attested not anchored not stored refs pending

Weighted Hsiung-Minkowski formulas and rigidity of umbilical hypersurfaces

Hojoo Lee, Juncheol Pyo, Kwok-Kun Kwong

arxiv:1608.08955 v2 · 2016-08-31 · 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{HA463VZRRATTRLXJUWV3LSCPT7}

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	2026-05-18T01:04:30.909528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3839edd731882738aee9a5abb5c84f9fe88f5f9b421148ca770261f28ab33afb

Aliases

arxiv: 1608.08955 · arxiv_version: 1608.08955v2 · doi: 10.48550/arxiv.1608.08955 · pith_short_12: HA463VZRRATT · pith_short_16: HA463VZRRATTRLXJ · pith_short_8: HA463VZR

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/HA463VZRRATTRLXJUWV3LSCPT7 \
  | 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: 3839edd731882738aee9a5abb5c84f9fe88f5f9b421148ca770261f28ab33afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8e3f3470b096d0d4862bd2ee9a0c39466f58b2138b3a7696c5fa045950be39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-31T17:23:51Z",
    "title_canon_sha256": "e968db814cf3ef8a6a8478444d17f6c71ea0ffcfc7eae141e4cc7d13bd2bfa9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08955",
    "kind": "arxiv",
    "version": 2
  }
}