Pith Number

pith:GLL6IOUV

pith:2014:GLL6IOUV7OG2MCJK4LHZ67O6GH

not attested not anchored not stored refs pending

The phantom menace in representation theory

Birge Huisgen-Zimmermann

arxiv:1407.2354 v1 · 2014-07-09 · 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{GLL6IOUV7OG2MCJK4LHZ67O6GH}

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	2026-05-18T02:48:01.856771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d7e43a95fb8da6092ae2cf9f7dde31c3c06dc03844b9a12a44b28711969330

Aliases

arxiv: 1407.2354 · arxiv_version: 1407.2354v1 · doi: 10.48550/arxiv.1407.2354 · pith_short_12: GLL6IOUV7OG2 · pith_short_16: GLL6IOUV7OG2MCJK · pith_short_8: GLL6IOUV

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/GLL6IOUV7OG2MCJK4LHZ67O6GH \
  | 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: 32d7e43a95fb8da6092ae2cf9f7dde31c3c06dc03844b9a12a44b28711969330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda7cafc24c43093e38e8a302a70429f923bdd055421c4ebd68d747e5a4fa965",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-07-09T05:03:17Z",
    "title_canon_sha256": "415ecdb1b11295709b03b359e0cd4dd2fa60c9b0846e5a32762a52983183b127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2354",
    "kind": "arxiv",
    "version": 1
  }
}