Pith Number

pith:QKG7L2WD

pith:2016:QKG7L2WDM2LAFUH3OLUO6HXRDO

not attested not anchored not stored refs pending

Geometric Time and Causal Time in Relativistic Lagrangian Mechanics

Olivier Brunet

arxiv:1609.02040 v1 · 2016-09-06 · gr-qc · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKG7L2WDM2LAFUH3OLUO6HXRDO}

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	2026-05-18T01:05:09.334808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828df5eac3669602d0fb72e8ef1ef11b99000997f04d860b42cdc8b68313aa67

Aliases

arxiv: 1609.02040 · arxiv_version: 1609.02040v1 · doi: 10.48550/arxiv.1609.02040 · pith_short_12: QKG7L2WDM2LA · pith_short_16: QKG7L2WDM2LAFUH3 · pith_short_8: QKG7L2WD

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/QKG7L2WDM2LAFUH3OLUO6HXRDO \
  | 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: 828df5eac3669602d0fb72e8ef1ef11b99000997f04d860b42cdc8b68313aa67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e319f65025495c5bacfa068386433772e541d02272788ae32919669d373b33",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-06T08:37:15Z",
    "title_canon_sha256": "10530df319ffc442755f38ffce0ea72583c0cff672c53b10d5cae82db2c86ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02040",
    "kind": "arxiv",
    "version": 1
  }
}