Pith Number

pith:J5PAFNLZ

pith:2010:J5PAFNLZL5WWJSMLT2WKBC5NWK

not attested not anchored not stored refs pending

Electromagnetic wave scattering by a thin layer in which many small particles are embedded

A.G.Ramm

arxiv:1012.2777 v3 · 2010-12-13 · math-ph · math.AP · math.MP · 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{J5PAFNLZL5WWJSMLT2WKBC5NWK}

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	2026-05-18T04:31:11.337159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f5e02b5795f6d64c98b9eaca08badb2b234a7a01d23de97f892ab85997dd6f1

Aliases

arxiv: 1012.2777 · arxiv_version: 1012.2777v3 · doi: 10.48550/arxiv.1012.2777 · pith_short_12: J5PAFNLZL5WW · pith_short_16: J5PAFNLZL5WWJSML · pith_short_8: J5PAFNLZ

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/J5PAFNLZL5WWJSMLT2WKBC5NWK \
  | 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: 4f5e02b5795f6d64c98b9eaca08badb2b234a7a01d23de97f892ab85997dd6f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5b2a85cb385f39e3f80accd767c581b6094ef880ae7b5965a379c83e80df40",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-13T15:54:44Z",
    "title_canon_sha256": "7b066367cb3b8e58f3758a643426bbf76f46e90782fd521ba968d97dcb8b6908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2777",
    "kind": "arxiv",
    "version": 3
  }
}