Pith Number

pith:GVKIHW4P

pith:2017:GVKIHW4PXLT5SOIWBQ26UB2ZYQ

not attested not anchored not stored refs pending

Zagier duality for level $p$ weakly holomorphic modular forms

Grant Molnar, Paul Jenkins

arxiv:1709.10023 v2 · 2017-09-28 · 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{GVKIHW4PXLT5SOIWBQ26UB2ZYQ}

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	2026-05-18T00:24:02.301448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

355483db8fbae7d939160c35ea0759c429ee1a1807edde986c3c26e6ddaad7b7

Aliases

arxiv: 1709.10023 · arxiv_version: 1709.10023v2 · doi: 10.48550/arxiv.1709.10023 · pith_short_12: GVKIHW4PXLT5 · pith_short_16: GVKIHW4PXLT5SOIW · pith_short_8: GVKIHW4P

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/GVKIHW4PXLT5SOIWBQ26UB2ZYQ \
  | 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: 355483db8fbae7d939160c35ea0759c429ee1a1807edde986c3c26e6ddaad7b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6bd8243b59b30e92bb958a0d8fde870c4b89efc6d90966e3f07710bb55cf5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-28T15:34:12Z",
    "title_canon_sha256": "a04852d2a55cbabab0783868b43750c50069db0cf6a3311ad9a444f564efc17d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10023",
    "kind": "arxiv",
    "version": 2
  }
}