Pith Number

pith:EPQQTPXD

pith:2011:EPQQTPXD5ACO67RQRXYDQ2V6SQ

not attested not anchored not stored refs pending

Energy dispersion relation for negative refraction (NR) materials

Y. Ben-Aryeh

arxiv:1102.3535 v1 · 2011-02-17 · 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{EPQQTPXD5ACO67RQRXYDQ2V6SQ}

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	2026-05-18T02:03:10.053101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e109bee3e804ef7e308df0386abe9419a9ee57314947f219a0c3f41cf50144

Aliases

arxiv: 1102.3535 · arxiv_version: 1102.3535v1 · doi: 10.48550/arxiv.1102.3535 · pith_short_12: EPQQTPXD5ACO · pith_short_16: EPQQTPXD5ACO67RQ · pith_short_8: EPQQTPXD

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/EPQQTPXD5ACO67RQRXYDQ2V6SQ \
  | 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: 23e109bee3e804ef7e308df0386abe9419a9ee57314947f219a0c3f41cf50144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03cfbc309b04f77c22a211d792157addc8d972f268ee1dd16109b2638dd001cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-02-17T09:31:01Z",
    "title_canon_sha256": "322a9004777aa46c1909d5404fda5d3b965f5c42076447068db6d306114fa3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3535",
    "kind": "arxiv",
    "version": 1
  }
}