Pith Number

pith:BCS3F6XJ

pith:2011:BCS3F6XJCYZVWDDZJEEY67M3WS

not attested not anchored not stored refs pending

Absolute instruments and perfect imaging in geometrical optics

Klaus Bering, Lenka Herzanova, Martin Sarbort, Tomas Tyc

arxiv:1107.2524 v1 · 2011-07-13 · 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{BCS3F6XJCYZVWDDZJEEY67M3WS}

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	2026-05-18T02:49:52.473098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a5b2fae916335b0c7949098f7d9bb4b74dce07f7e0c041d6376087ea139f4e

Aliases

arxiv: 1107.2524 · arxiv_version: 1107.2524v1 · doi: 10.48550/arxiv.1107.2524 · pith_short_12: BCS3F6XJCYZV · pith_short_16: BCS3F6XJCYZVWDDZ · pith_short_8: BCS3F6XJ

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/BCS3F6XJCYZVWDDZJEEY67M3WS \
  | 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: 08a5b2fae916335b0c7949098f7d9bb4b74dce07f7e0c041d6376087ea139f4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79d17b1f9e74cb8f3eaca3e34eec4902da91e85edef6c0481b5c165c0d10abc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-07-13T11:17:05Z",
    "title_canon_sha256": "620ca31b17d4eb7c6f4f0a9c2d32596333758067bc84100fa8087ccd9edff57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2524",
    "kind": "arxiv",
    "version": 1
  }
}