Pith Number

pith:WTG7DJQE

pith:2010:WTG7DJQEQNG4J43VRIZWILNFRA

not attested not anchored not stored refs pending

Perfect imaging: they don't do it with mirrors

Sahar Sahebdivan, Ulf Leonhardt

arxiv:1007.0078 v3 · 2010-07-01 · 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{WTG7DJQEQNG4J43VRIZWILNFRA}

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	2026-05-18T02:06:33.454447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4cdf1a604834dc4f3758a33642da58812c6fa92e1cd4c73c75c1ac6b50b4ca2

Aliases

arxiv: 1007.0078 · arxiv_version: 1007.0078v3 · doi: 10.48550/arxiv.1007.0078 · pith_short_12: WTG7DJQEQNG4 · pith_short_16: WTG7DJQEQNG4J43V · pith_short_8: WTG7DJQE

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/WTG7DJQEQNG4J43VRIZWILNFRA \
  | 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: b4cdf1a604834dc4f3758a33642da58812c6fa92e1cd4c73c75c1ac6b50b4ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247e1aac026a9be3b7106c1826547fc5f076431e9e079cfca724be4bb6ac4d13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-07-01T06:47:49Z",
    "title_canon_sha256": "a994ef8d611a1fcc3ffbfa91b036306cf86e6cd508c27bff76b0299ead037b15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0078",
    "kind": "arxiv",
    "version": 3
  }
}