Pith Number

pith:KNCDIVHD

pith:2012:KNCDIVHDX6QBMEGQKK33NYUQGM

not attested not anchored not stored refs pending

Comment on the photon number bound and Rayleigh scattering

Israel Michael Sigal, Jeremy Faupin

arxiv:1207.4735 v2 · 2012-07-19 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNCDIVHDX6QBMEGQKK33NYUQGM}

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	2026-05-18T03:50:08.834344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53443454e3bfa01610d052b7b6e290333e3be50a1fdf9ab4b61efd59ce47ae11

Aliases

arxiv: 1207.4735 · arxiv_version: 1207.4735v2 · doi: 10.48550/arxiv.1207.4735 · pith_short_12: KNCDIVHDX6QB · pith_short_16: KNCDIVHDX6QBMEGQ · pith_short_8: KNCDIVHD

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/KNCDIVHDX6QBMEGQKK33NYUQGM \
  | 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: 53443454e3bfa01610d052b7b6e290333e3be50a1fdf9ab4b61efd59ce47ae11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3cd8f46009129a8f7da953743f1287daacabe21acabcc0390f55728e65a5c13",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-19T17:08:34Z",
    "title_canon_sha256": "1592baacfb0e612d87c617c34c98163acdec144f18faea8bf1de85458113c553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4735",
    "kind": "arxiv",
    "version": 2
  }
}