Pith Number

pith:6KGEZCC3

pith:2013:6KGEZCC3IS4327OVUZJWC3HVS6

not attested not anchored not stored refs pending

The Geometry of Light Paths for Equiangular Spirals

Eckhard Hitzer

arxiv:1306.0635 v1 · 2013-06-04 · 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{6KGEZCC3IS4327OVUZJWC3HVS6}

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	2026-05-18T03:21:54.472002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f28c4c885b44b9bd7dd5a653616cf59799e4852e42cf0408edd6a6253bcff67a

Aliases

arxiv: 1306.0635 · arxiv_version: 1306.0635v1 · doi: 10.48550/arxiv.1306.0635 · pith_short_12: 6KGEZCC3IS43 · pith_short_16: 6KGEZCC3IS4327OV · pith_short_8: 6KGEZCC3

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/6KGEZCC3IS4327OVUZJWC3HVS6 \
  | 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: f28c4c885b44b9bd7dd5a653616cf59799e4852e42cf0408edd6a6253bcff67a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6560216b0296588ebc02b5a69cc64311c51359eac90c5df0923172653c73807e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-06-04T02:10:06Z",
    "title_canon_sha256": "4f2aa6b24bd872afc4d9b2c2472cee69a0c867bc67ad370e17c36931fddcdca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0635",
    "kind": "arxiv",
    "version": 1
  }
}