Pith Number

pith:GVP45PE2

pith:2013:GVP45PE2F7ISGHVT4EUSZOTMEN

not attested not anchored not stored refs pending

A regularisation approach to causality theory for $C^{1,1}$-Lorentzian metrics

James A. Vickers, Michael Kunzinger, Milena Stojkovic, Roland Steinbauer

arxiv:1310.4404 v4 · 2013-10-16 · math.DG · math-ph · 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{GVP45PE2F7ISGHVT4EUSZOTMEN}

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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.

Cited by

1 paper in Pith

Rigorous Feature Importance Scores based on Shapley Value and Banzhaf Index

Receipt and verification

First computed	2026-07-04T23:50:41.761155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

355fcebc9a2fd1231eb3e1292cba6c2360a7c8e2c0cbee05613eb1664b23dc5c

Aliases

arxiv: 1310.4404 · arxiv_version: 1310.4404v4 · doi: 10.48550/arxiv.1310.4404 · pith_short_12: GVP45PE2F7IS · pith_short_16: GVP45PE2F7ISGHVT · pith_short_8: GVP45PE2

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/GVP45PE2F7ISGHVT4EUSZOTMEN \
  | 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: 355fcebc9a2fd1231eb3e1292cba6c2360a7c8e2c0cbee05613eb1664b23dc5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b49b9d7b2ba4927f703cf610ecec33a09e47feccdebb299a67acfc4366d489",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-16T14:38:56Z",
    "title_canon_sha256": "3a715401bfe27e439e683c82a976c425c99fa158ac01ee35bed6f8589feb186e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4404",
    "kind": "arxiv",
    "version": 4
  }
}