Pith Number

pith:HHKJQVHI

pith:2015:HHKJQVHITG2LIERDZAE25HOSX5

not attested not anchored not stored refs pending

Cohomology of $SL_2$ and related structures

Klaus Lux, Nham V. Ngo, Yichao Zhang

arxiv:1508.05534 v1 · 2015-08-22 · 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{HHKJQVHITG2LIERDZAE25HOSX5}

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	2026-05-18T01:34:52.266203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d49854e899b4b41223c809ae9dd2bf699ba7acae9e1227d46b203a341ab8c0

Aliases

arxiv: 1508.05534 · arxiv_version: 1508.05534v1 · doi: 10.48550/arxiv.1508.05534 · pith_short_12: HHKJQVHITG2L · pith_short_16: HHKJQVHITG2LIERD · pith_short_8: HHKJQVHI

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/HHKJQVHITG2LIERDZAE25HOSX5 \
  | 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: 39d49854e899b4b41223c809ae9dd2bf699ba7acae9e1227d46b203a341ab8c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43611c970781ca7dcd52c00e909776113c795a538b7c92c334dd024e6c6029c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-08-22T17:39:50Z",
    "title_canon_sha256": "f25e0680f31bd83085c038e508cd4ebd4ded5078477b4cc3c78aa49e5eb1189e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05534",
    "kind": "arxiv",
    "version": 1
  }
}