Pith Number

pith:DVG3G3I2

pith:2016:DVG3G3I2T4XBUJ5I6KVV6KA26Q

not attested not anchored not stored refs pending

Counting Automorphic Forms on Norm One Tori

Ernest Hunter Brooks, Ian Petrow

arxiv:1606.05367 v3 · 2016-06-16 · 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{DVG3G3I2T4XBUJ5I6KVV6KA26Q}

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	2026-05-18T00:10:57.312671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4db36d1a9f2e1a27a8f2ab5f281af42091f8a0fa103fb1f61d29cf30bd76db

Aliases

arxiv: 1606.05367 · arxiv_version: 1606.05367v3 · doi: 10.48550/arxiv.1606.05367 · pith_short_12: DVG3G3I2T4XB · pith_short_16: DVG3G3I2T4XBUJ5I · pith_short_8: DVG3G3I2

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/DVG3G3I2T4XBUJ5I6KVV6KA26Q \
  | 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: 1d4db36d1a9f2e1a27a8f2ab5f281af42091f8a0fa103fb1f61d29cf30bd76db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a792c3cb05dbb1ef31af3986d17ede36fe6189b01b05eb69233ea5d60852fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-16T20:48:11Z",
    "title_canon_sha256": "3ff40f3e2508e99ec01652db655d3b63b247211e9ff8c63f17bfa32a152e059e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05367",
    "kind": "arxiv",
    "version": 3
  }
}