Pith Number

pith:OF4XNRNX

pith:2010:OF4XNRNXTJNUQM46AP4H5LCYJV

not attested not anchored not stored refs pending

New series for some special values of $L$-functions

Zhi-Wei Sun

arxiv:1010.4298 v7 · 2010-10-20 · math.NT · math.CA · math.CO · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OF4XNRNXTJNUQM46AP4H5LCYJV}

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	2026-05-18T01:23:04.717618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717976c5b79a5b48339e03f87eac584d624caefd9a20b6fa95831611f7f0015c

Aliases

arxiv: 1010.4298 · arxiv_version: 1010.4298v7 · doi: 10.48550/arxiv.1010.4298 · pith_short_12: OF4XNRNXTJNU · pith_short_16: OF4XNRNXTJNUQM46 · pith_short_8: OF4XNRNX

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/OF4XNRNXTJNUQM46AP4H5LCYJV \
  | 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: 717976c5b79a5b48339e03f87eac584d624caefd9a20b6fa95831611f7f0015c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ab64b359b89912dff79617b1807a6b96235214efd6a94bbf44c264f203c26f",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-20T19:57:57Z",
    "title_canon_sha256": "93fefcf312c7f4d012cf5026cc6899e60e361d4fa30424d3fc6896b342309f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4298",
    "kind": "arxiv",
    "version": 7
  }
}