Pith Number

pith:M2Y3BX5L

pith:2015:M2Y3BX5LSIW7ETRJECRJD5SYPA

not attested not anchored not stored refs pending

A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index

Ahmed Alsaedi, Bashir Ahmed, Durga Prasad Challa, Mokhtar Kirane, Mourad Sini

arxiv:1506.08096 v2 · 2015-06-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2Y3BX5LSIW7ETRJECRJD5SYPA}

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	2026-05-18T01:01:52.246649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66b1b0dfab922df24e2920a291f6587827c0ae9b5e0a702912f72d41d09d7207

Aliases

arxiv: 1506.08096 · arxiv_version: 1506.08096v2 · doi: 10.48550/arxiv.1506.08096 · pith_short_12: M2Y3BX5LSIW7 · pith_short_16: M2Y3BX5LSIW7ETRJ · pith_short_8: M2Y3BX5L

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/M2Y3BX5LSIW7ETRJECRJD5SYPA \
  | 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: 66b1b0dfab922df24e2920a291f6587827c0ae9b5e0a702912f72d41d09d7207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67360b677f46cecbebc24e12df9de8e16b05017247dad88b0d37f9316b39464b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-26T14:39:00Z",
    "title_canon_sha256": "b89fab191a3b6a5b16ff38118ee570d1b39cead2998594a5a029d34f52961a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08096",
    "kind": "arxiv",
    "version": 2
  }
}