Pith Number

pith:D5BKHYZD

pith:2017:D5BKHYZDZEJBUVDC5A4L42A5GK

not attested not anchored not stored refs pending

Covariant kinematics of light in media and a generalized Raychaudhuri equation

Mohsen Fathi, Robert T. Thompson

arxiv:1705.11108 v2 · 2017-05-31 · gr-qc · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5BKHYZDZEJBUVDC5A4L42A5GK}

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	2026-05-18T00:30:44.586768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f42a3e323c9121a5462e838be681d32afd77826f5f2d1fe25499d2b4d3d8d21

Aliases

arxiv: 1705.11108 · arxiv_version: 1705.11108v2 · doi: 10.48550/arxiv.1705.11108 · pith_short_12: D5BKHYZDZEJB · pith_short_16: D5BKHYZDZEJBUVDC · pith_short_8: D5BKHYZD

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/D5BKHYZDZEJBUVDC5A4L42A5GK \
  | 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: 1f42a3e323c9121a5462e838be681d32afd77826f5f2d1fe25499d2b4d3d8d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4047dd90a6de7248703e135093672a370e81716e19a17a3e48bb601491d7de8f",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-05-31T14:21:27Z",
    "title_canon_sha256": "2c6dc1fe32197eaddbf13cbfdc335d02f3e2098d1b9714e2a147a95d219302cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.11108",
    "kind": "arxiv",
    "version": 2
  }
}