Pith Number

pith:PGPNJ3UI

pith:2010:PGPNJ3UINDETC3JDMEWQJRVGYC

not attested not anchored not stored refs pending

Permeabilities of metamaterials

A.G.Ramm

arxiv:1012.2761 v3 · 2010-12-13 · physics.optics · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGPNJ3UINDETC3JDMEWQJRVGYC}

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	2026-05-18T04:31:11.349209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799ed4ee8868c9316d23612d04c6a6c085b04e8d341fc678413fd666990fd76c

Aliases

arxiv: 1012.2761 · arxiv_version: 1012.2761v3 · doi: 10.48550/arxiv.1012.2761 · pith_short_12: PGPNJ3UINDET · pith_short_16: PGPNJ3UINDETC3JD · pith_short_8: PGPNJ3UI

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/PGPNJ3UINDETC3JDMEWQJRVGYC \
  | 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: 799ed4ee8868c9316d23612d04c6a6c085b04e8d341fc678413fd666990fd76c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e3d132de5d4f30f59936a606a241fb625f2ef334a1ba81ad11464e272bc49aa",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-12-13T15:31:13Z",
    "title_canon_sha256": "8effd4da7ece2e48616510d5589a3c1d061ee942e0e1f287e65377b6873aac52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2761",
    "kind": "arxiv",
    "version": 3
  }
}