Pith Number

pith:OIFOPT7T

pith:2015:OIFOPT7TNCH2DK6SUY4NHTQWMS

not attested not anchored not stored refs pending

Semiclassical functional calculus for $h$-dependent functions

Benjamin K\"uster

arxiv:1507.06214 v2 · 2015-07-22 · 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{OIFOPT7TNCH2DK6SUY4NHTQWMS}

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	2026-05-18T01:20:55.904649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

720ae7cff3688fa1abd2a638d3ce1664a1762c975d7d900756c85681fe2effa6

Aliases

arxiv: 1507.06214 · arxiv_version: 1507.06214v2 · doi: 10.48550/arxiv.1507.06214 · pith_short_12: OIFOPT7TNCH2 · pith_short_16: OIFOPT7TNCH2DK6S · pith_short_8: OIFOPT7T

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/OIFOPT7TNCH2DK6SUY4NHTQWMS \
  | 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: 720ae7cff3688fa1abd2a638d3ce1664a1762c975d7d900756c85681fe2effa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1157410b1ddf32585f3a7f0ea08a7771820ab40a6f500f13337a1391d413080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-22T14:48:46Z",
    "title_canon_sha256": "0f6fdf1bdb175038413879263e4bd2e49e4544c2f37d17ae21a94605622c08b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06214",
    "kind": "arxiv",
    "version": 2
  }
}