Pith Number

pith:XA6YQ47B

pith:2016:XA6YQ47B7EYUHW2WAYBJPZ4CS7

not attested not anchored not stored refs pending

Multidimensional Borg--Levinson theorems for unbounded potentials

Valter Pohjola

arxiv:1612.02937 v1 · 2016-12-09 · math.AP · 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{XA6YQ47B7EYUHW2WAYBJPZ4CS7}

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	2026-05-18T00:55:27.925438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b83d8873e1f93143db56060297e78297e2b512f6b7a1ee7b0c45e7fb43a3dae2

Aliases

arxiv: 1612.02937 · arxiv_version: 1612.02937v1 · doi: 10.48550/arxiv.1612.02937 · pith_short_12: XA6YQ47B7EYU · pith_short_16: XA6YQ47B7EYUHW2W · pith_short_8: XA6YQ47B

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/XA6YQ47B7EYUHW2WAYBJPZ4CS7 \
  | 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: b83d8873e1f93143db56060297e78297e2b512f6b7a1ee7b0c45e7fb43a3dae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d10f5027a1fdc2b362ec05a36d3c998b5aceaff0b9b8559b5ac09e54b0c7a72f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-09T08:21:35Z",
    "title_canon_sha256": "b333054846cf204c7075e6d941c14ccbedb6ffc5a8f0e66d424391d9601204ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02937",
    "kind": "arxiv",
    "version": 1
  }
}