Pith Number

pith:D4WTGIYB

pith:2018:D4WTGIYBZ4LTNPGWV4BMO24OXB

not attested not anchored not stored refs pending

A variational formulation for relativistic mechanics based on Riemannian geometry and its application to the quantum mechanics context

Fabio Botelho

arxiv:1812.04097 v2 · 2018-12-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4WTGIYBZ4LTNPGWV4BMO24OXB}

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.

Cited by

1 paper in Pith

A variational formulation for relativistic mechanics, a new interpretation for the Bohr atomic model and some concerning applications

Receipt and verification

First computed	2026-05-17T23:43:32.983994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2d332301cf1736bcd6af02c76b8eb844aa01b702839b1ea147ed3afd098071

Aliases

arxiv: 1812.04097 · arxiv_version: 1812.04097v2 · doi: 10.48550/arxiv.1812.04097 · pith_short_12: D4WTGIYBZ4LT · pith_short_16: D4WTGIYBZ4LTNPGW · pith_short_8: D4WTGIYB

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/D4WTGIYBZ4LTNPGWV4BMO24OXB \
  | 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: 1f2d332301cf1736bcd6af02c76b8eb844aa01b702839b1ea147ed3afd098071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c53dc7ded280e274eed130f808a76c5c1a788568836aba5fca28486b2497f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-07T10:29:35Z",
    "title_canon_sha256": "01c959480fbc2bf34fa876ec10a3efd9406ef00591f15bef2d68152149b7c910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04097",
    "kind": "arxiv",
    "version": 2
  }
}