Pith Number

pith:45Y3ZI7L

pith:2010:45Y3ZI7L4SV5DK3XU7GDLK3534

not attested not anchored not stored refs pending

Regularity for eigenfunctions of Schr\"odinger operators

Bernd Ammann, Catarina Carvalho, Victor Nistor

arxiv:1010.1712 v3 · 2010-10-08 · math-ph · math.AP · math.FA · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45Y3ZI7L4SV5DK3XU7GDLK3534}

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	2026-05-18T01:29:12.113355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e771bca3ebe4abd1ab77a7cc35ab7ddf0825bfc5f4c3e72393ddf6cddd618e22

Aliases

arxiv: 1010.1712 · arxiv_version: 1010.1712v3 · doi: 10.48550/arxiv.1010.1712 · pith_short_12: 45Y3ZI7L4SV5 · pith_short_16: 45Y3ZI7L4SV5DK3X · pith_short_8: 45Y3ZI7L

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/45Y3ZI7L4SV5DK3XU7GDLK3534 \
  | 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: e771bca3ebe4abd1ab77a7cc35ab7ddf0825bfc5f4c3e72393ddf6cddd618e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92e10dca7fc8d8b649b249858142d7fa1cab788ac9830ad5ce27b23b6c13900",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-08T15:01:34Z",
    "title_canon_sha256": "4f80bb0087e5ce2d4b32fa4a19df5342c9f661f2f4ffaa8eb3f881a33f108c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1712",
    "kind": "arxiv",
    "version": 3
  }
}