Pith Number

pith:5RECAHMH

pith:2015:5RECAHMHADWFVY6E2UDSKDM4VZ

not attested not anchored not stored refs pending

An explicit hybrid estimate for $L(1/2+it,\chi)$

Ghaith A. Hiary

arxiv:1510.00950 v2 · 2015-10-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RECAHMHADWFVY6E2UDSKDM4VZ}

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	2026-05-18T01:11:25.251376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec48201d8700ec5ae3c4d507250d9cae4599455144eceb874929142833f733db

Aliases

arxiv: 1510.00950 · arxiv_version: 1510.00950v2 · doi: 10.48550/arxiv.1510.00950 · pith_short_12: 5RECAHMHADWF · pith_short_16: 5RECAHMHADWFVY6E · pith_short_8: 5RECAHMH

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/5RECAHMHADWFVY6E2UDSKDM4VZ \
  | 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: ec48201d8700ec5ae3c4d507250d9cae4599455144eceb874929142833f733db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e1c29d5585553b6e525964363c7fb74ccc32ca7e9ba6a1de1f1c76f2a8318a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-04T16:38:48Z",
    "title_canon_sha256": "b9a2a2775de9410038ca2bc4e3e286a4d491538d3264acaccee83a2e226014bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00950",
    "kind": "arxiv",
    "version": 2
  }
}