Pith Number

pith:3NHWPCNA

pith:2019:3NHWPCNAI3Q6C66PGQGEPOZKYB

not attested not anchored not stored refs pending

Dispersion relations of periodic quantum graphs associated with Archimedean tilings (II)

Chun-Kong Law, Eduardo O. Jatulan, Yu-Chen Luo

arxiv:1903.07323 v3 · 2019-03-18 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NHWPCNAI3Q6C66PGQGEPOZKYB}

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	2026-05-17T23:39:24.641414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4f6789a046e1e17bcf340c47bb2ac06a077fa955a29609a80eb6364db9bd8f

Aliases

arxiv: 1903.07323 · arxiv_version: 1903.07323v3 · doi: 10.48550/arxiv.1903.07323 · pith_short_12: 3NHWPCNAI3Q6 · pith_short_16: 3NHWPCNAI3Q6C66P · pith_short_8: 3NHWPCNA

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/3NHWPCNAI3Q6C66PGQGEPOZKYB \
  | 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: db4f6789a046e1e17bcf340c47bb2ac06a077fa955a29609a80eb6364db9bd8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61506518c139ce4d5af8c7fe9bd1091ce33c159e80faf85f7afea70b6da7a32f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-03-18T09:30:10Z",
    "title_canon_sha256": "1af3a911e3b264b84da21f436249d39d3a1eeb47a0cf130eef8adbb09d67b245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07323",
    "kind": "arxiv",
    "version": 3
  }
}