Pith Number

pith:S7V3HEQA

pith:2019:S7V3HEQACWVFWNSR3HMSQ2AZIU

not attested not anchored not stored refs pending

The royal road to automatic noncommutative real analyticity, monotonicity, and convexity

J. E. Pascoe, Ryan Tully-Doyle

arxiv:1907.05875 v1 · 2019-07-12 · math.FA · math.CV · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7V3HEQACWVFWNSR3HMSQ2AZIU}

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	2026-05-17T23:40:44.038266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ebb3920015aa5b3651d9d92868194504af62deed9d5c09b0facc1aa8425083

Aliases

arxiv: 1907.05875 · arxiv_version: 1907.05875v1 · doi: 10.48550/arxiv.1907.05875 · pith_short_12: S7V3HEQACWVF · pith_short_16: S7V3HEQACWVFWNSR · pith_short_8: S7V3HEQA

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/S7V3HEQACWVFWNSR3HMSQ2AZIU \
  | 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: 97ebb3920015aa5b3651d9d92868194504af62deed9d5c09b0facc1aa8425083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc97f98c6d7b04dbf904eec782ab78015a30cf64b5bc13cee90297efe7bc748",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-12T17:42:03Z",
    "title_canon_sha256": "5e6e3b69dd36e54236290bb896576efb3ea8e89032ef4754700a39ba715637a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05875",
    "kind": "arxiv",
    "version": 1
  }
}