Pith Number

pith:T2LG7FJW

pith:2004:T2LG7FJWPE3S3OKR6IVKXJT25U

not attested not anchored not stored refs pending

Spatio-temporal wave propagation in photonic crystals: a Wannier-function analysis

Stefano Longhi

arxiv:physics/0409016 v1 · 2004-09-02 · physics.optics · physics.atom-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{T2LG7FJWPE3S3OKR6IVKXJT25U}

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	2026-07-04T14:44:23.668726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e966f953679372db951f22aaba67aed37b66457dcfc2391d0690e15bc2be1e2

Aliases

arxiv: physics/0409016 · arxiv_version: physics/0409016v1 · doi: 10.48550/arxiv.physics/0409016 · pith_short_12: T2LG7FJWPE3S · pith_short_16: T2LG7FJWPE3S3OKR · pith_short_8: T2LG7FJW

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/T2LG7FJWPE3S3OKR6IVKXJT25U \
  | 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: 9e966f953679372db951f22aaba67aed37b66457dcfc2391d0690e15bc2be1e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e67c701ae86d798fc4c5bdf9b4df62ddcd83f506be94a0ce2df6df2f073179",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2004-09-02T09:25:32Z",
    "title_canon_sha256": "7a6caea00e03132b06be0d1e8015a3aad848f7ae0e30cd775f0f83642b82fbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0409016",
    "kind": "arxiv",
    "version": 1
  }
}