Pith Number

pith:GZPQEYZB

pith:2014:GZPQEYZBEBBKJUDFHRT7NZBAAR

not attested not anchored not stored refs pending

Oscillations of coefficients of Dirichlet series attached to automorphic forms

Jaban Meher, M. Ram Murty

arxiv:1412.8567 v3 · 2014-12-30 · 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{GZPQEYZBEBBKJUDFHRT7NZBAAR}

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	2026-05-18T01:16:02.926613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365f0263212042a4d0653c67f6e42004644cfecefaf406fc5ee30fc547ace9d4

Aliases

arxiv: 1412.8567 · arxiv_version: 1412.8567v3 · doi: 10.48550/arxiv.1412.8567 · pith_short_12: GZPQEYZBEBBK · pith_short_16: GZPQEYZBEBBKJUDF · pith_short_8: GZPQEYZB

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/GZPQEYZBEBBKJUDFHRT7NZBAAR \
  | 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: 365f0263212042a4d0653c67f6e42004644cfecefaf406fc5ee30fc547ace9d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8182d68e9398b5b6cba0d9d55682d0d40ad43c1b4c9844154047afc5d0ba5237",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-30T06:13:19Z",
    "title_canon_sha256": "eceae8d0faa3a1360f98efdc38e4fc14f1f31f6efbcab3f8c076cace43cc40dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8567",
    "kind": "arxiv",
    "version": 3
  }
}