Pith Number

pith:W3MYKNGU

pith:2016:W3MYKNGUU23B3XZDEWXTXVKS36

not attested not anchored not stored refs pending

Crofton Formulae for Tensor-Valued Curvature Measures

Daniel Hug, Jan A. Weis

arxiv:1606.05131 v2 · 2016-06-16 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3MYKNGUU23B3XZDEWXTXVKS36}

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	2026-05-18T01:11:04.641793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d98534d4a6b61ddf2325af3bd552df96514a493c7ab8ad3cf296a805d00ddd

Aliases

arxiv: 1606.05131 · arxiv_version: 1606.05131v2 · doi: 10.48550/arxiv.1606.05131 · pith_short_12: W3MYKNGUU23B · pith_short_16: W3MYKNGUU23B3XZD · pith_short_8: W3MYKNGU

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/W3MYKNGUU23B3XZDEWXTXVKS36 \
  | 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: b6d98534d4a6b61ddf2325af3bd552df96514a493c7ab8ad3cf296a805d00ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b877e79f376676ceb8e5ba37fbd233153e7055733dd2cebec69447c34bc21f59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-06-16T10:41:10Z",
    "title_canon_sha256": "a8f18908facca803e97b5be85b0e020801a9be07009c7efc80aafab00c893540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05131",
    "kind": "arxiv",
    "version": 2
  }
}