Pith Number

pith:MWVLDA4G

pith:2012:MWVLDA4GEQYRVGPU7UFEZTM36L

not attested not anchored not stored refs pending

Light propagation through random hyperbolic media: from a pile of sand to large scale structure of present day universe

Alexander V. Kildishev, Igor I. Smolyaninov

arxiv:1202.1993 v2 · 2012-02-09 · physics.optics · astro-ph.CO · gr-qc · hep-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{MWVLDA4GEQYRVGPU7UFEZTM36L}

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	2026-05-18T03:31:06.962323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65aab1838624311a99f4fd0a4ccd9bf2edfcf465f7a1297096ea89a8797c31ff

Aliases

arxiv: 1202.1993 · arxiv_version: 1202.1993v2 · doi: 10.48550/arxiv.1202.1993 · pith_short_12: MWVLDA4GEQYR · pith_short_16: MWVLDA4GEQYRVGPU · pith_short_8: MWVLDA4G

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/MWVLDA4GEQYRVGPU7UFEZTM36L \
  | 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: 65aab1838624311a99f4fd0a4ccd9bf2edfcf465f7a1297096ea89a8797c31ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10cac429706217ee4f57d590cdc3e60f356e6d3f4002193fef7718f3d22547aa",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-02-09T14:14:32Z",
    "title_canon_sha256": "ff5df2f3910345618d629d97457d8659c24131c8c2d6527dee57d18f6a91614f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1993",
    "kind": "arxiv",
    "version": 2
  }
}