Pith Number

pith:7F5KKRXP

pith:2011:7F5KKRXP32FD5V2DPYAESX3NOK

not attested not anchored not stored refs pending

Nonzero values of Dirichlet $L$-functions in vertical arithmetic progressions

Greg Martin, Nathan Ng

arxiv:1109.1788 v2 · 2011-09-08 · 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{7F5KKRXP32FD5V2DPYAESX3NOK}

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	2026-05-18T03:48:45.137924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97aa546efde8a3ed7437e00495f6d72970fd741d431b71eb5954728d9600bd1

Aliases

arxiv: 1109.1788 · arxiv_version: 1109.1788v2 · doi: 10.48550/arxiv.1109.1788 · pith_short_12: 7F5KKRXP32FD · pith_short_16: 7F5KKRXP32FD5V2D · pith_short_8: 7F5KKRXP

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/7F5KKRXP32FD5V2DPYAESX3NOK \
  | 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: f97aa546efde8a3ed7437e00495f6d72970fd741d431b71eb5954728d9600bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d8a48eff5122ac2e66768e4baeffbe234e9df7dfc4b87453d2e6644eea5378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-08T17:34:19Z",
    "title_canon_sha256": "e0fd38a014525d387479058c31cd321e8f53534946bcc18eba4a13ca7da0f722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1788",
    "kind": "arxiv",
    "version": 2
  }
}