Pith Number

pith:JVV3SSJR

pith:2011:JVV3SSJRUPHV7SQ5X3WZ64YLFM

not attested not anchored not stored refs pending

Propagation of light polarization in a birefringent medium: Exact analytic models

A. A. Rangelov, G. T. Genov, N. V. Vitanov

arxiv:1102.1315 v1 · 2011-02-07 · physics.optics · math-ph · math.MP · physics.atom-ph · physics.class-ph · quant-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{JVV3SSJRUPHV7SQ5X3WZ64YLFM}

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	2026-05-18T02:03:15.942480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d6bb94931a3cf5fca1dbeed9f730b2b18548c3aa1a98aedc07469f141e9fd8d

Aliases

arxiv: 1102.1315 · arxiv_version: 1102.1315v1 · doi: 10.48550/arxiv.1102.1315 · pith_short_12: JVV3SSJRUPHV · pith_short_16: JVV3SSJRUPHV7SQ5 · pith_short_8: JVV3SSJR

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/JVV3SSJRUPHV7SQ5X3WZ64YLFM \
  | 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: 4d6bb94931a3cf5fca1dbeed9f730b2b18548c3aa1a98aedc07469f141e9fd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451fc79beee17177de601ded8a2ec14526b7a3625521095533c7bc405ac84de2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.atom-ph",
      "physics.class-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-02-07T14:24:22Z",
    "title_canon_sha256": "8da475d2c08ab8a814af2bf970575a5f297ef2198d362598cfabe68700d63805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1315",
    "kind": "arxiv",
    "version": 1
  }
}