Pith Number

pith:YFCC2PPG

pith:2016:YFCC2PPG2O6453TDHABOITMKQG

not attested not anchored not stored refs pending

Recovery of $L^p$-potential in the plane

Boris Vainberg, Evgeny Lakshtanov

arxiv:1608.05807 v3 · 2016-08-20 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFCC2PPG2O6453TDHABOITMKQG}

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	2026-05-18T00:33:07.135792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1442d3de6d3bdceee633802e44d8a818c720fad78597411fd8aacc49bca724c

Aliases

arxiv: 1608.05807 · arxiv_version: 1608.05807v3 · doi: 10.48550/arxiv.1608.05807 · pith_short_12: YFCC2PPG2O64 · pith_short_16: YFCC2PPG2O6453TD · pith_short_8: YFCC2PPG

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/YFCC2PPG2O6453TDHABOITMKQG \
  | 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: c1442d3de6d3bdceee633802e44d8a818c720fad78597411fd8aacc49bca724c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5c68b161c4ce282dc5f424b239b79a9c54ff6181656c644e464abb887a3846",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-20T09:50:53Z",
    "title_canon_sha256": "1016d879023d3e813ab0ed33fba365eee6187bc9f9562d38fa24c6d4e9a4b1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05807",
    "kind": "arxiv",
    "version": 3
  }
}