Pith Number

pith:TLG2WA3W

pith:2013:TLG2WA3WUHWPF4HCBGVKLIDONT

not attested not anchored not stored refs pending

Product formulas in functional calculi for sectorial operators

Alexander Gomilko, Charles Batty, Yuri Tomilov

arxiv:1309.0318 v2 · 2013-09-02 · 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{TLG2WA3WUHWPF4HCBGVKLIDONT}

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	2026-05-18T02:41:42.190018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9acdab0376a1ecf2f0e209aaa5a06e6cc931c3a5142b4c17df66d4c614a14de9

Aliases

arxiv: 1309.0318 · arxiv_version: 1309.0318v2 · doi: 10.48550/arxiv.1309.0318 · pith_short_12: TLG2WA3WUHWP · pith_short_16: TLG2WA3WUHWPF4HC · pith_short_8: TLG2WA3W

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/TLG2WA3WUHWPF4HCBGVKLIDONT \
  | 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: 9acdab0376a1ecf2f0e209aaa5a06e6cc931c3a5142b4c17df66d4c614a14de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53aedbba58a8c5c775ea9c0adbda1d459a1b5e00d5e0deab512d43301670b7df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-02T08:24:12Z",
    "title_canon_sha256": "3d44158369d3c09b4784ece9e545b08e6205cc3a953f738204e85bbeb4dedda7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0318",
    "kind": "arxiv",
    "version": 2
  }
}