Pith Number

pith:REQD3R3V

pith:2012:REQD3R3VT66WEWP5GUZY7WZW2C

not attested not anchored not stored refs pending

On Fermat's principle for causal curves in time oriented Finsler spacetimes

Henrique Vit\'orio, Paolo Piccione, Ricardo Gallego Torrom\'e

arxiv:1202.3869 v2 · 2012-02-17 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REQD3R3VT66WEWP5GUZY7WZW2C}

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	2026-05-18T01:58:24.150283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89203dc7759fbd6259fd35338fdb36d0a827c5681d86378a83c64019c6354006

Aliases

arxiv: 1202.3869 · arxiv_version: 1202.3869v2 · doi: 10.48550/arxiv.1202.3869 · pith_short_12: REQD3R3VT66W · pith_short_16: REQD3R3VT66WEWP5 · pith_short_8: REQD3R3V

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/REQD3R3VT66WEWP5GUZY7WZW2C \
  | 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: 89203dc7759fbd6259fd35338fdb36d0a827c5681d86378a83c64019c6354006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ab8ea03860bb1cd7fcc530d932b9b2bfb8d3608c516773be27433b68479ab0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-17T10:41:59Z",
    "title_canon_sha256": "9d215bf21bf303399626cd802e3e687a3f6c0bc63011cb5fa35d8b45043b3053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3869",
    "kind": "arxiv",
    "version": 2
  }
}