Pith Number

pith:W5I5OJ5K

pith:2016:W5I5OJ5KIKKZPQKBZPUW4FX2MU

not attested not anchored not stored refs pending

Domain shape dependence of semiclassical corrections to energy

Grzegorz Kwiatkowski

arxiv:1608.02776 v2 · 2016-08-09 · quant-ph · math-ph · 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{W5I5OJ5KIKKZPQKBZPUW4FX2MU}

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	2026-05-18T00:39:02.403990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b751d727aa429597c141cbe96e16fa651d542956e0a6fd0c1b85578cab1711b9

Aliases

arxiv: 1608.02776 · arxiv_version: 1608.02776v2 · doi: 10.48550/arxiv.1608.02776 · pith_short_12: W5I5OJ5KIKKZ · pith_short_16: W5I5OJ5KIKKZPQKB · pith_short_8: W5I5OJ5K

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/W5I5OJ5KIKKZPQKBZPUW4FX2MU \
  | 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: b751d727aa429597c141cbe96e16fa651d542956e0a6fd0c1b85578cab1711b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c2505f75c77c143b9f269a4010b66e1f822d27cbc5033bf02358dce0754a54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-09T12:08:16Z",
    "title_canon_sha256": "cc824140c60a3d27bc3dea4f2efb536a2ba255b80186d2bda41db0b80bd663cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02776",
    "kind": "arxiv",
    "version": 2
  }
}