Pith Number

pith:SEPRXKL7

pith:2021:SEPRXKL7WSZIBI7AMDQZTYA5NU

not attested not anchored not stored refs pending

The distribution of values of zeta and L-functions

Kannan Soundararajan

arxiv:2112.03389 v1 · 2021-12-06 · 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{SEPRXKL7WSZIBI7AMDQZTYA5NU}

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.

Cited by

1 paper in Pith

Escaping Chaos in Random Multiplicative Functions

Receipt and verification

First computed	2026-07-05T03:38:44.895936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

911f1ba97fb4b280a3e060e199e01d6d17e7663c811224a8d338a9951beaf6f3

Aliases

arxiv: 2112.03389 · arxiv_version: 2112.03389v1 · doi: 10.48550/arxiv.2112.03389 · pith_short_12: SEPRXKL7WSZI · pith_short_16: SEPRXKL7WSZIBI7A · pith_short_8: SEPRXKL7

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/SEPRXKL7WSZIBI7AMDQZTYA5NU \
  | 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: 911f1ba97fb4b280a3e060e199e01d6d17e7663c811224a8d338a9951beaf6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a1316533d05384aae1d12a2109d5d153bce6414ef84e47f55e02e96d30f0a8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-06T22:28:25Z",
    "title_canon_sha256": "09aafcea2441f9258c60c330d7ae6fd55ae97f66ea340ba133237a8e4cb3e603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.03389",
    "kind": "arxiv",
    "version": 1
  }
}