Pith Number

pith:ZX2TQO3R

pith:2018:ZX2TQO3RITBDJEIONDALXXJBPL

not attested not anchored not stored refs pending

Invariants of magnetic Laplacians on periodic graphs

Evgeny Korotyaev, Natalia Saburova

arxiv:1808.07762 v1 · 2018-08-22 · 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{ZX2TQO3RITBDJEIONDALXXJBPL}

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	2026-05-18T00:07:24.362820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf5383b7144c234910e68c0bbdd217ad0224cfdb7d32f1f1ff0051fc4b25198

Aliases

arxiv: 1808.07762 · arxiv_version: 1808.07762v1 · doi: 10.48550/arxiv.1808.07762 · pith_short_12: ZX2TQO3RITBD · pith_short_16: ZX2TQO3RITBDJEIO · pith_short_8: ZX2TQO3R

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/ZX2TQO3RITBDJEIONDALXXJBPL \
  | 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: cdf5383b7144c234910e68c0bbdd217ad0224cfdb7d32f1f1ff0051fc4b25198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "816473d798895e91be010e4f775e0e15b0f643d88f266fa3476ecb7d0c3cb392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-08-22T06:54:15Z",
    "title_canon_sha256": "ec7bf8b750cfc9b8a0dde23bc643c4ed77b2bcbd7a5708b7fd49764df67b80f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07762",
    "kind": "arxiv",
    "version": 1
  }
}