Pith Number

pith:V6VDX5U2

pith:2016:V6VDX5U25GHE3MYYQO47LJTZ2K

not attested not anchored not stored refs pending

A Jordan-like decomposition theorem for valuations on star bodies

Ignacio Villanueva, Pedro Tradacete

arxiv:1605.02042 v3 · 2016-05-06 · 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{V6VDX5U25GHE3MYYQO47LJTZ2K}

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	2026-05-18T00:59:34.471386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afaa3bf69ae98e4db31883b9f5a679d2bc9eea69a8e5283f79de16fcbab88962

Aliases

arxiv: 1605.02042 · arxiv_version: 1605.02042v3 · doi: 10.48550/arxiv.1605.02042 · pith_short_12: V6VDX5U25GHE · pith_short_16: V6VDX5U25GHE3MYY · pith_short_8: V6VDX5U2

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/V6VDX5U25GHE3MYYQO47LJTZ2K \
  | 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: afaa3bf69ae98e4db31883b9f5a679d2bc9eea69a8e5283f79de16fcbab88962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9433e92b46a819b0a2b6d6fa3d7f5937dba636d2bfcde8a20f723edd9e54c686",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-05-06T19:12:04Z",
    "title_canon_sha256": "fa4984a6b988b45abb1b48269d11a19279a377e16061e80196bc3f231c11ab53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02042",
    "kind": "arxiv",
    "version": 3
  }
}