Pith Number

pith:I5ALXQUK

pith:2010:I5ALXQUKBIX6CTCOWDOMUIDS7M

not attested not anchored not stored refs pending

Table of Dirichlet L-Series and Prime Zeta Modulo Functions for Small Moduli

Richard J. Mathar

arxiv:1008.2547 v2 · 2010-08-15 · 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{I5ALXQUKBIX6CTCOWDOMUIDS7M}

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	2026-05-18T01:36:04.298832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4740bbc28a0a2fe14c4eb0dcca2072fb02bbe8e13fbc7640db1b94f34d656255

Aliases

arxiv: 1008.2547 · arxiv_version: 1008.2547v2 · doi: 10.48550/arxiv.1008.2547 · pith_short_12: I5ALXQUKBIX6 · pith_short_16: I5ALXQUKBIX6CTCO · pith_short_8: I5ALXQUK

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/I5ALXQUKBIX6CTCOWDOMUIDS7M \
  | 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: 4740bbc28a0a2fe14c4eb0dcca2072fb02bbe8e13fbc7640db1b94f34d656255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf4382e5def92d635749f3879309a991a9300d21ad6081573c9a83d5837f54fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-15T20:20:08Z",
    "title_canon_sha256": "80e72ffbe007f5a77a826b82014559f23a4f6646f8e32c37d4b733c6f0c2f6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2547",
    "kind": "arxiv",
    "version": 2
  }
}