Pith Number

pith:J23ODNPK

pith:2016:J23ODNPKFHXGAZFSTG3GV2YEFR

not attested not anchored not stored refs pending

Radial continuous valuations on star bodies and star sets

Ignacio Villanueva, Pedro Tradacete

arxiv:1611.03345 v1 · 2016-11-10 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J23ODNPKFHXGAZFSTG3GV2YEFR}

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	2026-05-18T00:59:40.515498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb6e1b5ea29ee6064b299b66aeb042c5cef5ad29f31b0aff5fd41068705f1f3

Aliases

arxiv: 1611.03345 · arxiv_version: 1611.03345v1 · doi: 10.48550/arxiv.1611.03345 · pith_short_12: J23ODNPKFHXG · pith_short_16: J23ODNPKFHXGAZFS · pith_short_8: J23ODNPK

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/J23ODNPKFHXGAZFSTG3GV2YEFR \
  | 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: 4eb6e1b5ea29ee6064b299b66aeb042c5cef5ad29f31b0aff5fd41068705f1f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc06c8e6a586ebea06ee32a6c5356a4f6013b5858fbc37b47d25d17143fb6ad",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-11-10T15:28:23Z",
    "title_canon_sha256": "616222e509f05afc7751a84c0424ca6ffb79cfe1eef9e6b43f92ce0fdb0cbdd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03345",
    "kind": "arxiv",
    "version": 1
  }
}