Pith Number

pith:PMIBFPYW

pith:2016:PMIBFPYWCWGMENRVKAWYZFOBPY

not attested not anchored not stored refs pending

Rotational Crofton formulae for Minkowski tensors and some affine counterparts

Anne Marie Svane, Eva B. Vedel Jensen

arxiv:1610.04488 v1 · 2016-10-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMIBFPYWCWGMENRVKAWYZFOBPY}

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	2026-05-18T01:02:15.042168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1012bf16158cc23635502d8c95c17e22fe64ce96a192c816f88bb137e1b06f

Aliases

arxiv: 1610.04488 · arxiv_version: 1610.04488v1 · doi: 10.48550/arxiv.1610.04488 · pith_short_12: PMIBFPYWCWGM · pith_short_16: PMIBFPYWCWGMENRV · pith_short_8: PMIBFPYW

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/PMIBFPYWCWGMENRVKAWYZFOBPY \
  | 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: 7b1012bf16158cc23635502d8c95c17e22fe64ce96a192c816f88bb137e1b06f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bfe625cc4303e302f3bdc7d8ca9d059026d0121c587c62a660e42baa4437b8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-13T12:14:59Z",
    "title_canon_sha256": "b1686e6e669f4ab56a48c3bcae2ebda208469444b88393be30bc5f95c46e9a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04488",
    "kind": "arxiv",
    "version": 1
  }
}