Pith Number

pith:WYYAM7QY

pith:2009:WYYAM7QYT624542PMFHWRS7VCU

not attested not anchored not stored refs pending

The geodesic form of light-ray trace in the inhomogeneous media

Ci Song, Kai Niu, Mo-Lin Ge

arxiv:0903.5401 v3 · 2009-03-31 · 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{WYYAM7QYT624542PMFHWRS7VCU}

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	2026-05-18T02:14:08.690978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b630067e189fb5cef34f614f68cbf515105700e7b4391dfbf534c759131fc0d8

Aliases

arxiv: 0903.5401 · arxiv_version: 0903.5401v3 · doi: 10.48550/arxiv.0903.5401 · pith_short_12: WYYAM7QYT624 · pith_short_16: WYYAM7QYT624542P · pith_short_8: WYYAM7QY

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/WYYAM7QYT624542PMFHWRS7VCU \
  | 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: b630067e189fb5cef34f614f68cbf515105700e7b4391dfbf534c759131fc0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df32ad58a64389029e368f9e77f5b377f03a087f5d14a794d61aca247150b349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-03-31T08:50:13Z",
    "title_canon_sha256": "6cceefb3cb01717a9f3b0400979b4345c8b35578eb59582c75be6f921a39c302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5401",
    "kind": "arxiv",
    "version": 3
  }
}