Pith Number

pith:T7OMP2C5

pith:2009:T7OMP2C53RBEMVNQQTPOZKRXGD

not attested not anchored not stored refs pending

Macroscopic Maxwell's equations and negative index materials

A. Tip, B. Gralak

arxiv:0901.0187 v4 · 2009-01-01 · 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{T7OMP2C53RBEMVNQQTPOZKRXGD}

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	2026-05-18T02:15:03.525839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fdcc7e85ddc424655b084deecaa3730f9fdf6f651a53c930a9927eea5225990

Aliases

arxiv: 0901.0187 · arxiv_version: 0901.0187v4 · doi: 10.48550/arxiv.0901.0187 · pith_short_12: T7OMP2C53RBE · pith_short_16: T7OMP2C53RBEMVNQ · pith_short_8: T7OMP2C5

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/T7OMP2C53RBEMVNQQTPOZKRXGD \
  | 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: 9fdcc7e85ddc424655b084deecaa3730f9fdf6f651a53c930a9927eea5225990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e0e3768078c556ccf41123b80524fedac54c644b96935bd267f8c4fdb48a568",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-01-01T17:57:24Z",
    "title_canon_sha256": "bb1daa51a11d4deb005e27d956628aaeeb2820dff394cbb003ef02de92476c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0187",
    "kind": "arxiv",
    "version": 4
  }
}