Pith Number

pith:ZBFBIAKP

pith:2025:ZBFBIAKPUPY5DEW42YC6PVUXU7

not attested not anchored not stored refs pending

Levinson's theorem and its generalization for Dirichlet L-functions

Swapnil Ray

arxiv:2511.06109 v2 · 2025-11-08 · 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{ZBFBIAKPUPY5DEW42YC6PVUXU7}

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	2026-06-19T16:09:52.066699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84a14014fa3f1d192dcd605e7d697a7d032756d4043521239588c417cb933cc

Aliases

arxiv: 2511.06109 · arxiv_version: 2511.06109v2 · doi: 10.48550/arxiv.2511.06109 · pith_short_12: ZBFBIAKPUPY5 · pith_short_16: ZBFBIAKPUPY5DEW4 · pith_short_8: ZBFBIAKP

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/ZBFBIAKPUPY5DEW42YC6PVUXU7 \
  | 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: c84a14014fa3f1d192dcd605e7d697a7d032756d4043521239588c417cb933cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92211b4f32c014b3716f535aaef5b613138d9a92c88edac8989acd062f908c23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-11-08T19:23:49Z",
    "title_canon_sha256": "2e5a9dccedd3c034b73c1f30e04f3d92dda8657d42dca530ac19edce4b99783a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06109",
    "kind": "arxiv",
    "version": 2
  }
}