Pith Number

pith:7HFZHQVM

pith:2012:7HFZHQVMXZ7BOB4V3EM675XF4N

not attested not anchored not stored refs pending

Locally harmonic Maass forms and the kernel of the Shintani lift

Ben Kane, Kathrin Bringmann, Winfried Kohnen

arxiv:1206.1100 v3 · 2012-06-06 · 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{7HFZHQVMXZ7BOB4V3EM675XF4N}

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	2026-05-18T03:01:33.549711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9cb93c2acbe7e170795d919eff6e5e3510d6e51e1805c40a6cfbeb46a150a04

Aliases

arxiv: 1206.1100 · arxiv_version: 1206.1100v3 · doi: 10.48550/arxiv.1206.1100 · pith_short_12: 7HFZHQVMXZ7B · pith_short_16: 7HFZHQVMXZ7BOB4V · pith_short_8: 7HFZHQVM

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/7HFZHQVMXZ7BOB4V3EM675XF4N \
  | 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: f9cb93c2acbe7e170795d919eff6e5e3510d6e51e1805c40a6cfbeb46a150a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c387e15a314bf0faed77284497e5bca8f58cdf20daffe41bdd80fa5bd9f65da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-06T01:01:47Z",
    "title_canon_sha256": "8da9a1b1332812ba4186ecc68f33d48bd0b08f29126c92203af77d184ca1a7fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1100",
    "kind": "arxiv",
    "version": 3
  }
}