Pith Number

pith:23DEZBHV

pith:2010:23DEZBHVZR7XCGQVJZ2PA3KYFT

not attested not anchored not stored refs pending

Spectral singularities and Bragg scattering in complex crystals

S. Longhi

arxiv:1001.0962 v1 · 2010-01-06 · quant-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{23DEZBHVZR7XCGQVJZ2PA3KYFT}

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	2026-05-18T02:10:04.368124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c64c84f5cc7f711a154e74f06d582ccfe6ecef7146b8551649e43edba51a4b

Aliases

arxiv: 1001.0962 · arxiv_version: 1001.0962v1 · doi: 10.48550/arxiv.1001.0962 · pith_short_12: 23DEZBHVZR7X · pith_short_16: 23DEZBHVZR7XCGQV · pith_short_8: 23DEZBHV

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/23DEZBHVZR7XCGQVJZ2PA3KYFT \
  | 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: d6c64c84f5cc7f711a154e74f06d582ccfe6ecef7146b8551649e43edba51a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a0f787e5f70b0f1447480060743afab0702615af5549e125e7a3eac7ccacea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-01-06T20:41:43Z",
    "title_canon_sha256": "c11b0ad97c77d735902c26bcfbac23a9d8dc336fdcbf96cc4aefd55498b41f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0962",
    "kind": "arxiv",
    "version": 1
  }
}