Pith Number

pith:XSLL4COM

pith:2015:XSLL4COMZ3FNBW67RFRUZSP3ZB

not attested not anchored not stored refs pending

Explicit estimates for the zeros of Hecke $L$-functions

Asif Zaman

arxiv:1502.05679 v4 · 2015-02-19 · 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{XSLL4COMZ3FNBW67RFRUZSP3ZB}

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	2026-05-18T01:18:10.040367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc96be09cccecad0dbdf89634cc9fbc84b7ebc264056fed3966d262a37e31c3e

Aliases

arxiv: 1502.05679 · arxiv_version: 1502.05679v4 · doi: 10.48550/arxiv.1502.05679 · pith_short_12: XSLL4COMZ3FN · pith_short_16: XSLL4COMZ3FNBW67 · pith_short_8: XSLL4COM

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/XSLL4COMZ3FNBW67RFRUZSP3ZB \
  | 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: bc96be09cccecad0dbdf89634cc9fbc84b7ebc264056fed3966d262a37e31c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55650b3e095e9cbb69f3cf3304139dbf601c35d2f9a0fb09f923c021b89cf5d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-19T19:47:31Z",
    "title_canon_sha256": "0aa1e0e074dcb4a90a92de76b85d148bf42102c9fa8fb608808db50f8df91bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05679",
    "kind": "arxiv",
    "version": 4
  }
}