Pith Number

pith:J3G2VBXT

pith:2009:J3G2VBXT6VDU3XIWTPNQYN7SKT

not attested not anchored not stored refs pending

A method for creating materials with a desired refraction coefficient

A.G.Ramm

arxiv:0909.0510 v1 · 2009-09-02 · 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{J3G2VBXT6VDU3XIWTPNQYN7SKT}

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	2026-05-18T02:12:00.624992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ecdaa86f3f5474ddd169bdb0c37f254eb84d94508ca189f2d4684e19afd6cfa

Aliases

arxiv: 0909.0510 · arxiv_version: 0909.0510v1 · doi: 10.48550/arxiv.0909.0510 · pith_short_12: J3G2VBXT6VDU · pith_short_16: J3G2VBXT6VDU3XIW · pith_short_8: J3G2VBXT

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/J3G2VBXT6VDU3XIWTPNQYN7SKT \
  | 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: 4ecdaa86f3f5474ddd169bdb0c37f254eb84d94508ca189f2d4684e19afd6cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ea971d55609738cabeaac489b547dbb8487c74ac332dad6edad914323501192",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-02T20:05:28Z",
    "title_canon_sha256": "27439eb7fe8faf2ed834e576bb7231bb598812c1a61c57611ead23ddd973913c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0510",
    "kind": "arxiv",
    "version": 1
  }
}