Pith Number

pith:RATHU7EP

pith:2014:RATHU7EPSIO5TI7QHU7CTZQH4S

not attested not anchored not stored refs pending

An Explicit Result for $|L(1+it,\chi)|$

Adrian Dudek

arxiv:1409.2219 v1 · 2014-09-08 · 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{RATHU7EPSIO5TI7QHU7CTZQH4S}

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	2026-05-18T02:43:17.576505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88267a7c8f921dd9a3f03d3e29e607e49ccbb88debde66a2ed5b0a980b4ced43

Aliases

arxiv: 1409.2219 · arxiv_version: 1409.2219v1 · doi: 10.48550/arxiv.1409.2219 · pith_short_12: RATHU7EPSIO5 · pith_short_16: RATHU7EPSIO5TI7Q · pith_short_8: RATHU7EP

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/RATHU7EPSIO5TI7QHU7CTZQH4S \
  | 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: 88267a7c8f921dd9a3f03d3e29e607e49ccbb88debde66a2ed5b0a980b4ced43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f6057803b107db99f0fbc4d6433cc778279c2d462032eb829989c2658f2f91c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-08T06:49:47Z",
    "title_canon_sha256": "dbbe996170f7fa512d2529cfd31f49668e85f37cf76b40d0c59ff8a3f347998d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2219",
    "kind": "arxiv",
    "version": 1
  }
}