Pith Number

pith:DJMLR7PR

pith:2012:DJMLR7PRRIU5KS6NGUXYEU5G54

not attested not anchored not stored refs pending

Twisted homology for the mirabolic nilradical

Avraham Aizenbud, Dmitry Gourevitch, Siddhartha Sahi

arxiv:1210.5389 v2 · 2012-10-19 · 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{DJMLR7PRRIU5KS6NGUXYEU5G54}

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	2026-05-18T01:15:36.672628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a58b8fdf18a29d54bcd352f8253a6ef275eebf5c5edb4e8721d593561e85f2d

Aliases

arxiv: 1210.5389 · arxiv_version: 1210.5389v2 · doi: 10.48550/arxiv.1210.5389 · pith_short_12: DJMLR7PRRIU5 · pith_short_16: DJMLR7PRRIU5KS6N · pith_short_8: DJMLR7PR

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/DJMLR7PRRIU5KS6NGUXYEU5G54 \
  | 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: 1a58b8fdf18a29d54bcd352f8253a6ef275eebf5c5edb4e8721d593561e85f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b8e5dba2434df645dc3be18ff305d5e2d0c3367d7f95279543ae88f8748bb40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-19T11:55:26Z",
    "title_canon_sha256": "023bb0f1bd6371b14c2ad6394e3a21f53a2b484eebdccb23f4574d8b46afb8f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5389",
    "kind": "arxiv",
    "version": 2
  }
}