Pith Number

pith:G3QQNZVV

pith:2021:G3QQNZVVEJODC3XOZPYJANV3JV

not attested not anchored not stored refs pending

H\"older Continuity of the Integrated Causal Lagrangian in Minkowski Space

Marco Oppio

arxiv:2109.04728 v1 · 2021-09-10 · 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{G3QQNZVVEJODC3XOZPYJANV3JV}

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	2026-07-05T03:13:09.417311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e106e6b5225c316eeecbf09036bb4d750d8dfa3222d5bed75d55641c0114bf

Aliases

arxiv: 2109.04728 · arxiv_version: 2109.04728v1 · doi: 10.48550/arxiv.2109.04728 · pith_short_12: G3QQNZVVEJOD · pith_short_16: G3QQNZVVEJODC3XO · pith_short_8: G3QQNZVV

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/G3QQNZVVEJODC3XOZPYJANV3JV \
  | 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: 36e106e6b5225c316eeecbf09036bb4d750d8dfa3222d5bed75d55641c0114bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd365c224825a008cbec2aef35366135f9b2c4fa139171ca8bdc9aa2ff488bcc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-09-10T08:19:37Z",
    "title_canon_sha256": "4cb81643491f1e5675af23cbcd8b31c606534ab50cdeb92ebab54f663905e988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04728",
    "kind": "arxiv",
    "version": 1
  }
}