Pith Number

pith:HSQOYHV3

pith:2011:HSQOYHV3E4H6P76MBQTOZMJUDK

not attested not anchored not stored refs pending

Closed-Form Bounds to the Rice and Incomplete Toronto Functions and Incomplete Lipschitz-Hankel Integrals

Paschalis C. Sofotasios, Steven Freear

arxiv:1112.4076 v1 · 2011-12-17 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSQOYHV3E4H6P76MBQTOZMJUDK}

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	2026-05-18T04:06:07.053297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca0ec1ebb270fe7ffcc0c26ecb1341a8f20b516e956c6bfedb1e904c6c2be85

Aliases

arxiv: 1112.4076 · arxiv_version: 1112.4076v1 · doi: 10.48550/arxiv.1112.4076 · pith_short_12: HSQOYHV3E4H6 · pith_short_16: HSQOYHV3E4H6P76M · pith_short_8: HSQOYHV3

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/HSQOYHV3E4H6P76MBQTOZMJUDK \
  | 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: 3ca0ec1ebb270fe7ffcc0c26ecb1341a8f20b516e956c6bfedb1e904c6c2be85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca6443999fd3085262682e1d9820057075fb8c732c09e7c29e11eab02c374aa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-17T18:31:56Z",
    "title_canon_sha256": "092c992c0958823d3de9fcbb7e97c16a9f13b6e20d515d3178018184f8db6944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4076",
    "kind": "arxiv",
    "version": 1
  }
}