Pith Number

pith:SO4PNNJ2

pith:2018:SO4PNNJ27ZTVSB7CPTNSYLX4K3

not attested not anchored not stored refs pending

Taking Inspiration from Quantum-Wave Analogies --- Recent Results for Photonic Crystals

Max Lein

arxiv:1804.01234 v1 · 2018-04-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO4PNNJ27ZTVSB7CPTNSYLX4K3}

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	2026-05-18T00:19:15.657473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b8f6b53afe675907e27cdb2c2efc56c4c58e555a800a2680fe2da19ab6e700

Aliases

arxiv: 1804.01234 · arxiv_version: 1804.01234v1 · doi: 10.48550/arxiv.1804.01234 · pith_short_12: SO4PNNJ27ZTV · pith_short_16: SO4PNNJ27ZTVSB7C · pith_short_8: SO4PNNJ2

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/SO4PNNJ27ZTVSB7CPTNSYLX4K3 \
  | 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: 93b8f6b53afe675907e27cdb2c2efc56c4c58e555a800a2680fe2da19ab6e700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be64af316037b8c313b221d60fc62e93107a3d8eb7d480a536b6099a589fb0f8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-04-04T04:22:27Z",
    "title_canon_sha256": "1f27dec09cb85de48067b53f4cb1d6a629eaa55967cadd7b76d42557ba20787b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01234",
    "kind": "arxiv",
    "version": 1
  }
}