Pith Number

pith:PYJT5WPY

pith:2016:PYJT5WPYKUOTPNREJBGHFFTDQA

not attested not anchored not stored refs pending

Kinematic formulae for tensorial curvature measures

Daniel Hug, Jan A. Weis

arxiv:1612.08427 v1 · 2016-12-26 · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYJT5WPYKUOTPNREJBGHFFTDQA}

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	2026-05-18T00:53:53.071474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e133ed9f8551d37b624484c729663803e575e70ce334d161eaa8ee879c69a1c

Aliases

arxiv: 1612.08427 · arxiv_version: 1612.08427v1 · doi: 10.48550/arxiv.1612.08427 · pith_short_12: PYJT5WPYKUOT · pith_short_16: PYJT5WPYKUOTPNRE · pith_short_8: PYJT5WPY

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/PYJT5WPYKUOTPNREJBGHFFTDQA \
  | 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: 7e133ed9f8551d37b624484c729663803e575e70ce334d161eaa8ee879c69a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f41827e8b5f20a62f2806ca79bb5dc49223863b2032927d87fa5d269948aea10",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-26T18:51:54Z",
    "title_canon_sha256": "1b34ecb340b456c366c6df552db21506130e202eb55a713eabb93b66badf5a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08427",
    "kind": "arxiv",
    "version": 1
  }
}