Pith Number

pith:XBUB3KU3

pith:2012:XBUB3KU3MJARQJVQCFPQAHLADS

not attested not anchored not stored refs pending

Pointwise bounds on quasimodes of semiclassical Schrodinger operators in dimension two

Hart F. Smith, Maciej Zworski

arxiv:1209.2721 v1 · 2012-09-12 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBUB3KU3MJARQJVQCFPQAHLADS}

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	2026-05-18T03:45:41.168897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8681daa9b62411826b0115f001d601ca72e3edaed337c4eabfd8d449d03e97f

Aliases

arxiv: 1209.2721 · arxiv_version: 1209.2721v1 · doi: 10.48550/arxiv.1209.2721 · pith_short_12: XBUB3KU3MJAR · pith_short_16: XBUB3KU3MJARQJVQ · pith_short_8: XBUB3KU3

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/XBUB3KU3MJARQJVQCFPQAHLADS \
  | 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: b8681daa9b62411826b0115f001d601ca72e3edaed337c4eabfd8d449d03e97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d5fb71369fd51adf8773f8efa73cab173c2d064720e9d324cc1a4b82e5c3a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-12T20:29:37Z",
    "title_canon_sha256": "9bda6063a144583088cf6c82c332c1de72ebf527ae4afad75c8c7a0bbb5fcc60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2721",
    "kind": "arxiv",
    "version": 1
  }
}