Pith Number

pith:W7ZDZMYV

pith:2014:W7ZDZMYVFKQH46JZ3XY3ZC5YLJ

not attested not anchored not stored refs pending

Stacks in Representation Theory. What is a continuous representation of an algebraic group ?

Joseph Bernstein

arxiv:1410.0435 v3 · 2014-10-02 · 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{W7ZDZMYVFKQH46JZ3XY3ZC5YLJ}

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	2026-05-18T01:15:00.505634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f23cb3152aa07e7939ddf1bc8bb85a6ef9ec2f404f4a5fe9fbd36780f8727b

Aliases

arxiv: 1410.0435 · arxiv_version: 1410.0435v3 · doi: 10.48550/arxiv.1410.0435 · pith_short_12: W7ZDZMYVFKQH · pith_short_16: W7ZDZMYVFKQH46JZ · pith_short_8: W7ZDZMYV

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/W7ZDZMYVFKQH46JZ3XY3ZC5YLJ \
  | 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: b7f23cb3152aa07e7939ddf1bc8bb85a6ef9ec2f404f4a5fe9fbd36780f8727b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a4a3b1e4146332c0c4f97046cb9956c1bbb449ce521df33dafb1477aa13cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-10-02T02:02:18Z",
    "title_canon_sha256": "60f2c382953e40aeb1b1f3d6670ff1e41385ee041842e8b4e000d832b9e8cab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0435",
    "kind": "arxiv",
    "version": 3
  }
}