Pith Number

pith:PCVJRJJZ

pith:2018:PCVJRJJZXQQQBFBTUFHOO5PX7C

not attested not anchored not stored refs pending

On the cohomology of congruence subgroups of GL3 over the Eisenstein integers

Dan Yasaki, Mark McConnell, Paul E. Gunnells

arxiv:1805.09373 v1 · 2018-05-23 · 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{PCVJRJJZXQQQBFBTUFHOO5PX7C}

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	2026-05-18T00:15:04.237809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78aa98a539bc21009433a14ee775f7f89764aeb62d3d9dc3fdef4ed723946257

Aliases

arxiv: 1805.09373 · arxiv_version: 1805.09373v1 · doi: 10.48550/arxiv.1805.09373 · pith_short_12: PCVJRJJZXQQQ · pith_short_16: PCVJRJJZXQQQBFBT · pith_short_8: PCVJRJJZ

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/PCVJRJJZXQQQBFBTUFHOO5PX7C \
  | 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: 78aa98a539bc21009433a14ee775f7f89764aeb62d3d9dc3fdef4ed723946257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70cf58aac0f48161658e0ba1be0ebea405aebd53aff573ab719312d431c19e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-23T18:41:40Z",
    "title_canon_sha256": "d6225c0ffbbb46836804302c2f4af58a09c5518724d52713df8c5ebbd32826b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09373",
    "kind": "arxiv",
    "version": 1
  }
}