Pith Number

pith:WW3FOHTS

pith:2015:WW3FOHTSUWZXRHYRKUA4EL7RGG

not attested not anchored not stored refs pending

Shrinking cloaks in expanding spacetimes: the role of coordinates and the meaning of transformations in Transformation Optics

Mohsen Fathi, Robert T. Thompson

arxiv:1506.08507 v1 · 2015-06-29 · physics.optics · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW3FOHTSUWZXRHYRKUA4EL7RGG}

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	2026-05-18T01:36:27.248684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b6571e72a5b3789f115501c22ff13181a2bcd9f42b91a6d3330f03d3c8ff9d

Aliases

arxiv: 1506.08507 · arxiv_version: 1506.08507v1 · doi: 10.48550/arxiv.1506.08507 · pith_short_12: WW3FOHTSUWZX · pith_short_16: WW3FOHTSUWZXRHYR · pith_short_8: WW3FOHTS

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/WW3FOHTSUWZXRHYRKUA4EL7RGG \
  | 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: b5b6571e72a5b3789f115501c22ff13181a2bcd9f42b91a6d3330f03d3c8ff9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa44f829a28d62cc2cdfdc1224df443cffd1976962ff44456d75112d6354032",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-06-29T04:47:37Z",
    "title_canon_sha256": "adf8091c079d35cdb1423f60d3168df16f71897d51917229beef4d0f61352aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08507",
    "kind": "arxiv",
    "version": 1
  }
}