Pith Number

pith:CQ7PVCN3

pith:2016:CQ7PVCN3PO3SN6PMRZOP5ZGSWM

not attested not anchored not stored refs pending

Crofton formulae for tensorial curvature measures: the general case

Daniel Hug, Jan A. Weis

arxiv:1612.08847 v2 · 2016-12-28 · 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{CQ7PVCN3PO3SN6PMRZOP5ZGSWM}

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	2026-05-18T00:48:15.603120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143efa89bb7bb726f9ec8e5cfee4d2b319ffbc5637b1ff64e66396e2c2f0b7b2

Aliases

arxiv: 1612.08847 · arxiv_version: 1612.08847v2 · doi: 10.48550/arxiv.1612.08847 · pith_short_12: CQ7PVCN3PO3S · pith_short_16: CQ7PVCN3PO3SN6PM · pith_short_8: CQ7PVCN3

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/CQ7PVCN3PO3SN6PMRZOP5ZGSWM \
  | 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: 143efa89bb7bb726f9ec8e5cfee4d2b319ffbc5637b1ff64e66396e2c2f0b7b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b15d2c14e02af0c74b5bce130c2be1f5a6845b5fc2e73d2146a009f959e943",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-28T10:38:31Z",
    "title_canon_sha256": "66a2b7019928559025616b5b8d76b4b638516ad190f537e79d378966180c60a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08847",
    "kind": "arxiv",
    "version": 2
  }
}