Pith Number

pith:FJVGVHPN

pith:2016:FJVGVHPNEAYA6FRCBBRSL6R45H

not attested not anchored not stored refs pending

Schr\"odinger operators with guided potentials on periodic graphs

Evgeny Korotyaev, Natalia Saburova

arxiv:1612.05458 v2 · 2016-12-16 · 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{FJVGVHPNEAYA6FRCBBRSL6R45H}

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	2026-05-18T00:44:33.559040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a6a6a9ded20300f1622086325fa3ce9eccfd588e2cc0080accef16204143b6f

Aliases

arxiv: 1612.05458 · arxiv_version: 1612.05458v2 · doi: 10.48550/arxiv.1612.05458 · pith_short_12: FJVGVHPNEAYA · pith_short_16: FJVGVHPNEAYA6FRC · pith_short_8: FJVGVHPN

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/FJVGVHPNEAYA6FRCBBRSL6R45H \
  | 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: 2a6a6a9ded20300f1622086325fa3ce9eccfd588e2cc0080accef16204143b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20df2ece6f5532bf710d1955f2267912b01d3450a58087690ba2226393364e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-12-16T13:30:04Z",
    "title_canon_sha256": "2d15afe103f35590bfa4c2eb511a2dd1401366129b12d25e9dc5bdf2c39682b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05458",
    "kind": "arxiv",
    "version": 2
  }
}