Pith Number

pith:XEOHKJAS

pith:2016:XEOHKJASV6XAHY6Y3CWG6HP4NR

not attested not anchored not stored refs pending

Non-vanishing of fundamental Fourier coefficients of paramodular forms

Jolanta Marzec

arxiv:1607.03007 v2 · 2016-07-11 · 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{XEOHKJASV6XAHY6Y3CWG6HP4NR}

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	2026-05-18T00:36:33.241629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91c752412afae03e3d8d8ac6f1dfc6c75f0dbc7f6ad532c0681c7ee49e76da1

Aliases

arxiv: 1607.03007 · arxiv_version: 1607.03007v2 · doi: 10.48550/arxiv.1607.03007 · pith_short_12: XEOHKJASV6XA · pith_short_16: XEOHKJASV6XAHY6Y · pith_short_8: XEOHKJAS

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/XEOHKJASV6XAHY6Y3CWG6HP4NR \
  | 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: b91c752412afae03e3d8d8ac6f1dfc6c75f0dbc7f6ad532c0681c7ee49e76da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13255c3cbcd77bfb529d3dff5b68dbf8617b395e09f4ec74e7ef89778e0f1a98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-11T15:50:45Z",
    "title_canon_sha256": "321cc608f9b4aeb8eb99ed08abffce5fa16f2960ccfaa0f7b66ed6e7884b0c3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03007",
    "kind": "arxiv",
    "version": 2
  }
}