Pith Number

pith:C3E4PQ7D

pith:2021:C3E4PQ7DA7ASEVGCDZPM55FGMN

not attested not anchored not stored refs pending

On the absolute convergence of automorphic Dirichlet series

Ravi Raghunathan

arxiv:2105.06957 v1 · 2021-05-14 · 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{C3E4PQ7DA7ASEVGCDZPM55FGMN}

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	2026-07-05T02:40:23.292027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c9c7c3e307c12254c21e5ecef4a663721200e27cd2493c6ec879218b101544

Aliases

arxiv: 2105.06957 · arxiv_version: 2105.06957v1 · doi: 10.48550/arxiv.2105.06957 · pith_short_12: C3E4PQ7DA7AS · pith_short_16: C3E4PQ7DA7ASEVGC · pith_short_8: C3E4PQ7D

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/C3E4PQ7DA7ASEVGCDZPM55FGMN \
  | 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: 16c9c7c3e307c12254c21e5ecef4a663721200e27cd2493c6ec879218b101544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc66161ed7638a4977f0cd47404bc862f12228b6980fa46491a0b6d6fee46374",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-14T16:57:48Z",
    "title_canon_sha256": "df6d3b80a061582d9710758519d87cf809ddfd965aedb5e9c252e6d960c8a460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.06957",
    "kind": "arxiv",
    "version": 1
  }
}