Pith Number

pith:QHFG7NAE

pith:2026:QHFG7NAEJII5GW44URF4RADCXD

not attested not anchored not stored refs pending

Multivariate counting of wild abelian extensions

Fabian Gundlach

arxiv:2607.27364 v1 · 2026-07-29 · 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{QHFG7NAEJII5GW44URF4RADCXD}

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	2026-07-31T00:10:46.606608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

81ca6fb4044a11d35b9ca44bc88062b8fd46f76b7710c36556eb86f9a146f3a6

Aliases

arxiv: 2607.27364 · arxiv_version: 2607.27364v1 · doi: 10.48550/arxiv.2607.27364 · pith_short_12: QHFG7NAEJII5 · pith_short_16: QHFG7NAEJII5GW44 · pith_short_8: QHFG7NAE

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/QHFG7NAEJII5GW44URF4RADCXD \
  | 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: 81ca6fb4044a11d35b9ca44bc88062b8fd46f76b7710c36556eb86f9a146f3a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c6554638a74f2bffdc93e6d6eb385bf57e376e834fcd6676a61f672573b39f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-29T18:15:36Z",
    "title_canon_sha256": "f2151acba62a86187a501a083c461e5e54289bab5a94a4388750c38f15690adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27364",
    "kind": "arxiv",
    "version": 1
  }
}