Pith Number

pith:7XTJMB7R

pith:2013:7XTJMB7ROIEZEIP572MXR53Y7C

not attested not anchored not stored refs pending

Gauge Equivalence and the Inverse Spectral Problem for the Magnetic Schr\"odinger Operator on the Torus

Gregory Eskin, Jim Ralston

arxiv:1312.4008 v1 · 2013-12-14 · 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{7XTJMB7ROIEZEIP572MXR53Y7C}

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	2026-05-18T03:04:36.247383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fde69607f172099221fdfe9978f778f8b61fccf2a23a37b0268501a927e390e7

Aliases

arxiv: 1312.4008 · arxiv_version: 1312.4008v1 · doi: 10.48550/arxiv.1312.4008 · pith_short_12: 7XTJMB7ROIEZ · pith_short_16: 7XTJMB7ROIEZEIP5 · pith_short_8: 7XTJMB7R

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/7XTJMB7ROIEZEIP572MXR53Y7C \
  | 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: fde69607f172099221fdfe9978f778f8b61fccf2a23a37b0268501a927e390e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a17727a83b2eca45e2014518e4f951004113d75f5a2deb457a6da59db85380a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-12-14T06:32:14Z",
    "title_canon_sha256": "b9e1aeded2f8eabe44383d92802b3ffd5422d55f25b49b9e3ebfaa10e59239aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4008",
    "kind": "arxiv",
    "version": 1
  }
}