Pith Number

pith:DK67VPUC

pith:2026:DK67VPUCPUBOG3A5MZ3QTVHNBU

not attested not anchored not stored refs pending

Joint level-weight murmurations for holomorphic newforms

Julien Cardi

arxiv:2607.08982 v1 · 2026-07-09 · 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{DK67VPUCPUBOG3A5MZ3QTVHNBU}

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	2026-07-13T00:17:31.956880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1abdfabe827d02e36c1d667709d4ed0d3aed3eaae1d4c2532db2b716c0a1eda4

Aliases

arxiv: 2607.08982 · arxiv_version: 2607.08982v1 · doi: 10.48550/arxiv.2607.08982 · pith_short_12: DK67VPUCPUBO · pith_short_16: DK67VPUCPUBOG3A5 · pith_short_8: DK67VPUC

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/DK67VPUCPUBOG3A5MZ3QTVHNBU \
  | 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: 1abdfabe827d02e36c1d667709d4ed0d3aed3eaae1d4c2532db2b716c0a1eda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5262916304fee342e52381335cd861e2c67f134edaf3ff3304b9ed4336a516ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-09T23:11:15Z",
    "title_canon_sha256": "fc866d2f61eceb9273fa1e8d0c5117b8541fa4b06bc4d3c967dfef2b7db71e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08982",
    "kind": "arxiv",
    "version": 1
  }
}