Pith Number

pith:P7QNI73Y

pith:2018:P7QNI73Y6YQ2QEVLJ7D7K6KQ5G

not attested not anchored not stored refs pending

On the existence of dual solutions for Lorentzian cost functions

Martin Kell, Stefan Suhr

arxiv:1808.04393 v1 · 2018-08-13 · math.DG · 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{P7QNI73Y6YQ2QEVLJ7D7K6KQ5G}

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	2026-05-18T00:08:12.501971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe0d47f78f621a812ab4fc7f57950e98f7252acb66a8e417fd6f6d0eb0bb777

Aliases

arxiv: 1808.04393 · arxiv_version: 1808.04393v1 · doi: 10.48550/arxiv.1808.04393 · pith_short_12: P7QNI73Y6YQ2 · pith_short_16: P7QNI73Y6YQ2QEVL · pith_short_8: P7QNI73Y

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/P7QNI73Y6YQ2QEVLJ7D7K6KQ5G \
  | 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: 7fe0d47f78f621a812ab4fc7f57950e98f7252acb66a8e417fd6f6d0eb0bb777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1268889d1a6a366db81ebfcbea2f4c9feace85aead6964f9560a5403a9e61868",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-13T18:25:39Z",
    "title_canon_sha256": "2959af3cdfd5d1740e5e386c00a76250e870172a580bba5b32db4de0c42e1d8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04393",
    "kind": "arxiv",
    "version": 1
  }
}