Pith Number

pith:27VFYMSZ

pith:2018:27VFYMSZLGKT7C7GKQRHAQHW6Z

not attested not anchored not stored refs pending

An explicit construction of non-tempered cusp forms on $O(1,8n+1)$

Ameya Pitale, Hiro-aki Narita, Yingkun Li

arxiv:1806.10763 v1 · 2018-06-28 · 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{27VFYMSZLGKT7C7GKQRHAQHW6Z}

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	2026-05-18T00:12:07.992791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ea5c325959953f8be654227040f6f66ec8d055aa394a9f5faedde79195db64

Aliases

arxiv: 1806.10763 · arxiv_version: 1806.10763v1 · doi: 10.48550/arxiv.1806.10763 · pith_short_12: 27VFYMSZLGKT · pith_short_16: 27VFYMSZLGKT7C7G · pith_short_8: 27VFYMSZ

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/27VFYMSZLGKT7C7GKQRHAQHW6Z \
  | 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: d7ea5c325959953f8be654227040f6f66ec8d055aa394a9f5faedde79195db64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f3701a40b62e6d526266443fa20a20f5c1481b874fc5ebdbb1ddb2b68d446a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-28T04:15:01Z",
    "title_canon_sha256": "2ca300a2d678f0631b2215314c5ca606522002fd0e3f14f2fd355310c02b6175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10763",
    "kind": "arxiv",
    "version": 1
  }
}