Pith Number

pith:C5Z7G7Q6

pith:2013:C5Z7G7Q6JAHX4CQTKRANL3L3AL

not attested not anchored not stored refs pending

Minkowski tensor density formulas for Boolean models

Daniel Hug, Julia H\"orrmann, Klaus Mecke, Michael Klatt

arxiv:1307.0756 v2 · 2013-07-02 · math.PR · math-ph · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5Z7G7Q6JAHX4CQTKRANL3L3AL}

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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	2026-05-18T03:16:05.631880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1773f37e1e480f7e0a135440d5ed7b02ca9bfaf39c670a7c3b9034893fe836a7

Aliases

arxiv: 1307.0756 · arxiv_version: 1307.0756v2 · doi: 10.48550/arxiv.1307.0756 · pith_short_12: C5Z7G7Q6JAHX · pith_short_16: C5Z7G7Q6JAHX4CQT · pith_short_8: C5Z7G7Q6

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/C5Z7G7Q6JAHX4CQTKRANL3L3AL \
  | 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: 1773f37e1e480f7e0a135440d5ed7b02ca9bfaf39c670a7c3b9034893fe836a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14677a7d43c76b4826ab783b2c6890b1043c14fb14b29d7dd668483988cf825c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-02T16:47:24Z",
    "title_canon_sha256": "328c552162f322ef83cc4519b47536d1fa98944830ccf06610a5fbdc7a7caa77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0756",
    "kind": "arxiv",
    "version": 2
  }
}