Pith Number

pith:MGLA2ZEP

pith:2018:MGLA2ZEP32ZSNXL7AIWD4VE24O

not attested not anchored not stored refs pending

Dispersion relations of periodic quantum graphs associated with Archimedean tiling (I)

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

arxiv:1809.09581 v2 · 2018-09-25 · 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{MGLA2ZEP32ZSNXL7AIWD4VE24O}

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	2026-05-17T23:39:27.058788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61960d648fdeb326dd7f022c3e549ae3a608c2abfd64e179a40031400382845b

Aliases

arxiv: 1809.09581 · arxiv_version: 1809.09581v2 · doi: 10.48550/arxiv.1809.09581 · pith_short_12: MGLA2ZEP32ZS · pith_short_16: MGLA2ZEP32ZSNXL7 · pith_short_8: MGLA2ZEP

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/MGLA2ZEP32ZSNXL7AIWD4VE24O \
  | 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: 61960d648fdeb326dd7f022c3e549ae3a608c2abfd64e179a40031400382845b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd335a0b6b270c35abe3b0e41491e3812045eff01893a31a187f74ee5d1be5cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-09-25T16:40:44Z",
    "title_canon_sha256": "9a0af4fc56b60425c6270cab7f1dd14c386560f9dc9fb1510b21d6d18b4e63e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09581",
    "kind": "arxiv",
    "version": 2
  }
}