Pith Number

pith:K3IUD5MG

pith:2018:K3IUD5MGQQ2FM5J5PBTV7QHVMC

not attested not anchored not stored refs pending

Cohomology with twisted one-dimensional coefficients for congruence subgroups of SL(4,Z) and Galois representations

Avner Ash, Mark McConnell, Paul E. Gunnells

arxiv:1806.08707 v1 · 2018-06-22 · 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{K3IUD5MGQQ2FM5J5PBTV7QHVMC}

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	2026-05-18T00:12:36.385790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d141f586843456753d78675fc0f5608871e50339219b1123366bff1ee8385a

Aliases

arxiv: 1806.08707 · arxiv_version: 1806.08707v1 · doi: 10.48550/arxiv.1806.08707 · pith_short_12: K3IUD5MGQQ2F · pith_short_16: K3IUD5MGQQ2FM5J5 · pith_short_8: K3IUD5MG

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/K3IUD5MGQQ2FM5J5PBTV7QHVMC \
  | 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: 56d141f586843456753d78675fc0f5608871e50339219b1123366bff1ee8385a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c96b52c0f1f07a03b05dce8dc382497e9b848d10c54a58aa67fd7f30490ab7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-22T14:51:57Z",
    "title_canon_sha256": "6bbf721e4eb58da215c0fe8e456f824849397ec0076e2ed06cb618a45d03339a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08707",
    "kind": "arxiv",
    "version": 1
  }
}