Pith Number

pith:QY6WNMQP

pith:2009:QY6WNMQPD52LNKDWNC7VPPYANJ

not attested not anchored not stored refs pending

Introduction to representation theory

Alex Schwendner, Dmitry Vaintrob, Elena Yudovina, Oleg Golberg, Pavel Etingof, Sebastian Hensel, Tiankai Liu

arxiv:0901.0827 v5 · 2009-01-07 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QY6WNMQPD52LNKDWNC7VPPYANJ}

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.

Cited by

1 paper in Pith

Typical Entanglement of Superpositions

Receipt and verification

First computed	2026-05-18T04:30:14.756259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863d66b20f1f74b6a87668bf57bf006a4b8c2ce817b45cfc2ccc98cf769ffe9b

Aliases

arxiv: 0901.0827 · arxiv_version: 0901.0827v5 · doi: 10.48550/arxiv.0901.0827 · pith_short_12: QY6WNMQPD52L · pith_short_16: QY6WNMQPD52LNKDW · pith_short_8: QY6WNMQP

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/QY6WNMQPD52LNKDWNC7VPPYANJ \
  | 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: 863d66b20f1f74b6a87668bf57bf006a4b8c2ce817b45cfc2ccc98cf769ffe9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c9cbe0d596da3f1e40d3a605bf8e3298808fd370f86ceb7f54206369e763b3",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-01-07T14:16:40Z",
    "title_canon_sha256": "ea937f2e0ebb656d9e9ee409a87a01cb5c731bbd9826535a1deccec6987816fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0827",
    "kind": "arxiv",
    "version": 5
  }
}