Pith Number

pith:YL2P5PJQ

pith:2011:YL2P5PJQGP4RJKRKX6GYYP5RT7

not attested not anchored not stored refs pending

Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions

Kathrin Bringmann, Martin Raum, Nikolaos Diamantis

arxiv:1107.0573 v2 · 2011-07-04 · 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{YL2P5PJQGP4RJKRKX6GYYP5RT7}

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	2026-05-18T04:11:28.452500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f4febd3033f914aa2abf8d8c3fb19fe9c1b5951a006dd98030fcd3111e2fc7

Aliases

arxiv: 1107.0573 · arxiv_version: 1107.0573v2 · doi: 10.48550/arxiv.1107.0573 · pith_short_12: YL2P5PJQGP4R · pith_short_16: YL2P5PJQGP4RJKRK · pith_short_8: YL2P5PJQ

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/YL2P5PJQGP4RJKRKX6GYYP5RT7 \
  | 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: c2f4febd3033f914aa2abf8d8c3fb19fe9c1b5951a006dd98030fcd3111e2fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be13911ab1c77715e63f3f228e1b89ca6a88acba37789d8bf8c232e6139a7cd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-04T09:27:41Z",
    "title_canon_sha256": "15d68bfb7bb25d8ee3de99737534ddf070907c16bfd9213f3ee47ca856e26281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0573",
    "kind": "arxiv",
    "version": 2
  }
}