Pith Number

pith:VOP67OFM

pith:2014:VOP67OFM2QBHFSQFERPBNGCGVL

not attested not anchored not stored refs pending

Subgroup depth and twisted coefficients

Alberto Hernandez, Lars Kadison, Marcin Szamotulski

arxiv:1410.0835 v4 · 2014-10-03 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOP67OFM2QBHFSQFERPBNGCGVL}

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	2026-05-18T02:32:38.329157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9fefb8acd40272ca05245e169846aafde6fbffbf9155926aa715ec59b7ea76

Aliases

arxiv: 1410.0835 · arxiv_version: 1410.0835v4 · doi: 10.48550/arxiv.1410.0835 · pith_short_12: VOP67OFM2QBH · pith_short_16: VOP67OFM2QBHFSQF · pith_short_8: VOP67OFM

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/VOP67OFM2QBHFSQFERPBNGCGVL \
  | 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: ab9fefb8acd40272ca05245e169846aafde6fbffbf9155926aa715ec59b7ea76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd145c18dc924c975d5bb5fa9c744614cf1216cb9d3c4109f6a93507bac38f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-10-03T12:36:57Z",
    "title_canon_sha256": "fef3dc6966090589c9260885946f584e61953fad116346fc438cd546faf3be1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0835",
    "kind": "arxiv",
    "version": 4
  }
}