Pith Number

pith:QXM5PQ5U

pith:2015:QXM5PQ5UT2UKD6S4IGHJQVHJTG

not attested not anchored not stored refs pending

Closed-Form Bounds for the Rice $Ie$-Function

Paschalis C. Sofotasios, Steven Freear

arxiv:1505.03897 v1 · 2015-05-14 · 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{QXM5PQ5UT2UKD6S4IGHJQVHJTG}

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	2026-05-18T02:09:40.781749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d9d7c3b49ea8a1fa5c418e9854e99989ba42364d18abb2b4699c52ecaad18a

Aliases

arxiv: 1505.03897 · arxiv_version: 1505.03897v1 · doi: 10.48550/arxiv.1505.03897 · pith_short_12: QXM5PQ5UT2UK · pith_short_16: QXM5PQ5UT2UKD6S4 · pith_short_8: QXM5PQ5U

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/QXM5PQ5UT2UKD6S4IGHJQVHJTG \
  | 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: 85d9d7c3b49ea8a1fa5c418e9854e99989ba42364d18abb2b4699c52ecaad18a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d604cdc7650510d8a4afa6731031932fc3797b836d212a26ce23e5490d43cbc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-14T21:43:27Z",
    "title_canon_sha256": "0e444003edc37f4c52c7e4c8951e482ef114c19774deded2da7fb5683700b295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03897",
    "kind": "arxiv",
    "version": 1
  }
}