Pith Number

pith:ACDYYOTF

pith:2017:ACDYYOTFEKB2WWDFKZ5EQKNT3R

not attested not anchored not stored refs pending

Zeros of combinations of the Riemann $\Xi$-function and the confluent hypergeometric function on bounded vertical shifts

Alexandru Zaharescu, Atul Dixit, Bibekananda Maji, Rahul Kumar

arxiv:1712.08435 v1 · 2017-12-22 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACDYYOTFEKB2WWDFKZ5EQKNT3R}

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	2026-05-18T00:27:23.472447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00878c3a652283ab5865567a4829b3dc586269a265122abbc01d37fbba8a57c1

Aliases

arxiv: 1712.08435 · arxiv_version: 1712.08435v1 · doi: 10.48550/arxiv.1712.08435 · pith_short_12: ACDYYOTFEKB2 · pith_short_16: ACDYYOTFEKB2WWDF · pith_short_8: ACDYYOTF

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/ACDYYOTFEKB2WWDFKZ5EQKNT3R \
  | 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: 00878c3a652283ab5865567a4829b3dc586269a265122abbc01d37fbba8a57c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c522c1eeff2695515b3e9d132af36198c24edf28d675e48d489673069b602a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-22T13:29:45Z",
    "title_canon_sha256": "ed6488351f52da6e85e7399c27f3cb666aa5845a30b88794489361df6fdcda9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08435",
    "kind": "arxiv",
    "version": 1
  }
}