Pith Number

pith:BRMTFDEK

pith:2016:BRMTFDEKWG7J6OGGONO5BFJ5PT

not attested not anchored not stored refs pending

Asymptotics of determinants of discrete Schr\"odinger operators

Alain Bourget, Tyler McMillen

arxiv:1609.04125 v2 · 2016-09-14 · 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{BRMTFDEKWG7J6OGGONO5BFJ5PT}

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	2026-05-18T01:04:32.354702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c59328c8ab1be9f38c6735dd0953d7cce5c903625d42d0cb97500e172a9447c

Aliases

arxiv: 1609.04125 · arxiv_version: 1609.04125v2 · doi: 10.48550/arxiv.1609.04125 · pith_short_12: BRMTFDEKWG7J · pith_short_16: BRMTFDEKWG7J6OGG · pith_short_8: BRMTFDEK

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/BRMTFDEKWG7J6OGGONO5BFJ5PT \
  | 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: 0c59328c8ab1be9f38c6735dd0953d7cce5c903625d42d0cb97500e172a9447c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921aef6967bf6648a02246a8917deb772b0aef1c1fb6d71666c8455e82254fa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-14T03:47:35Z",
    "title_canon_sha256": "ea4461eecc257f8ba15543fb79422a0b4559dffddac11bbea36684a7793e2e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04125",
    "kind": "arxiv",
    "version": 2
  }
}