Pith Number

pith:BHBA6YB6

pith:2014:BHBA6YB6AM2Q3LW3HBU25OPVN4

not attested not anchored not stored refs pending

Transmutation of singularities and zeros in graded index optical instruments: a methodology for designing practical devices

I.R. Hooper, T.G. Philbin

arxiv:1401.2755 v1 · 2014-01-13 · 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{BHBA6YB6AM2Q3LW3HBU25OPVN4}

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	2026-05-18T01:45:26.258438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c20f603e03350daedb3869aeb9f56f2d6b1fd9b9e73f950b5c1a7347a639d9

Aliases

arxiv: 1401.2755 · arxiv_version: 1401.2755v1 · doi: 10.48550/arxiv.1401.2755 · pith_short_12: BHBA6YB6AM2Q · pith_short_16: BHBA6YB6AM2Q3LW3 · pith_short_8: BHBA6YB6

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/BHBA6YB6AM2Q3LW3HBU25OPVN4 \
  | 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: 09c20f603e03350daedb3869aeb9f56f2d6b1fd9b9e73f950b5c1a7347a639d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b954cf28d4b418ce0641cf831ee8330aaf05c110ddbd1a7256e2564d12931800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-01-13T09:03:15Z",
    "title_canon_sha256": "39429f6b374362acdf2109ee65ddb7279b96fc5bb13466299186af96e1d7e95d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2755",
    "kind": "arxiv",
    "version": 1
  }
}