Pith Number

pith:63TRE5GA

pith:2019:63TRE5GA3NPQY644URDZ6NQEJI

not attested not anchored not stored refs pending

Fractional operators via analytic interpolation of integer powers

Evan Camrud

arxiv:1908.03604 v1 · 2019-08-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63TRE5GA3NPQY644URDZ6NQEJI}

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	2026-07-04T23:52:42.692325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e71274c0db5f0c7b9ca4479f36044a14bed9f44f1f03f7b12146aa8ac58549

Aliases

arxiv: 1908.03604 · arxiv_version: 1908.03604v1 · doi: 10.48550/arxiv.1908.03604 · pith_short_12: 63TRE5GA3NPQ · pith_short_16: 63TRE5GA3NPQY644 · pith_short_8: 63TRE5GA

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/63TRE5GA3NPQY644URDZ6NQEJI \
  | 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: f6e71274c0db5f0c7b9ca4479f36044a14bed9f44f1f03f7b12146aa8ac58549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b18c32d70b28e2438be57bdbe89a2f37e5415d44571dbd40c50ee8e661fd018",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-09T19:25:23Z",
    "title_canon_sha256": "200d3699518696becb79894cab6934fea00486ffae81d58d0b751d30bea7b063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03604",
    "kind": "arxiv",
    "version": 1
  }
}