Pith Number

pith:MFTPGDAZ

pith:2018:MFTPGDAZFDKHPADTQMJUOOX6CG

not attested not anchored not stored refs pending

Non-vanishing of Maass form L-functions at the critical point

Anders S\"odergren, Bingrong Huang, Olga Balkanova

arxiv:1810.07991 v2 · 2018-10-18 · 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{MFTPGDAZFDKHPADTQMJUOOX6CG}

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	2026-05-17T23:58:30.326119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6166f30c1928d47780738313473afe118c7fcbaf9873c624d4dbaabcda46e3f7

Aliases

arxiv: 1810.07991 · arxiv_version: 1810.07991v2 · doi: 10.48550/arxiv.1810.07991 · pith_short_12: MFTPGDAZFDKH · pith_short_16: MFTPGDAZFDKHPADT · pith_short_8: MFTPGDAZ

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/MFTPGDAZFDKHPADTQMJUOOX6CG \
  | 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: 6166f30c1928d47780738313473afe118c7fcbaf9873c624d4dbaabcda46e3f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99c913b426f17a43e2d025fe9664d5cdd82f228af0e4debfbe4fa1abe0fadd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-18T11:23:35Z",
    "title_canon_sha256": "ad682ffa65538ce4814917de282c6a4094ce0cc7ac29474a75d2dd972a5c4f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07991",
    "kind": "arxiv",
    "version": 2
  }
}