Pith Number

pith:FYGEHWH6

pith:2010:FYGEHWH6XZGH3LHCMH5IGHF62V

not attested not anchored not stored refs pending

Generalized Miller Formulae

J. Kasparian, J.-P. Wolf, W. Ettoumi, Y. Petit

arxiv:1011.1588 v1 · 2010-11-06 · 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{FYGEHWH6XZGH3LHCMH5IGHF62V}

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	2026-05-18T04:36:50.866843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0c43d8febe4c7dace261fa831cbed57eb55764f69fbe43e116122d1d5fda9b

Aliases

arxiv: 1011.1588 · arxiv_version: 1011.1588v1 · doi: 10.48550/arxiv.1011.1588 · pith_short_12: FYGEHWH6XZGH · pith_short_16: FYGEHWH6XZGH3LHC · pith_short_8: FYGEHWH6

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/FYGEHWH6XZGH3LHCMH5IGHF62V \
  | 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: 2e0c43d8febe4c7dace261fa831cbed57eb55764f69fbe43e116122d1d5fda9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5556fffd99ffce24459b3541b2199bff3fe1a18af6e22e0e87ade7c7ec3d9143",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-11-06T20:32:08Z",
    "title_canon_sha256": "8ca019c4ab6766b07097eb497cfc01e588610a248bbb3df93e138e0ed0837952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1588",
    "kind": "arxiv",
    "version": 1
  }
}