Pith Number

pith:S6PBW7B3

pith:2015:S6PBW7B3QHHTWJCWZDMJ4JSORX

not attested not anchored not stored refs pending

Stability property of multiplicities of group representations

Paul-Emile Paradan (IMAG)

arxiv:1510.05080 v1 · 2015-10-17 · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6PBW7B3QHHTWJCWZDMJ4JSORX}

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	2026-05-18T01:29:53.242879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979e1b7c3b81cf3b2456c8d89e264e8dea1ff995c11e1c028924539a95f10e61

Aliases

arxiv: 1510.05080 · arxiv_version: 1510.05080v1 · doi: 10.48550/arxiv.1510.05080 · pith_short_12: S6PBW7B3QHHT · pith_short_16: S6PBW7B3QHHTWJCW · pith_short_8: S6PBW7B3

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/S6PBW7B3QHHTWJCWZDMJ4JSORX \
  | 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: 979e1b7c3b81cf3b2456c8d89e264e8dea1ff995c11e1c028924539a95f10e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c6bd40605e139172b223c85bcf9a2745ba5a498a1c9aa201a0aedb0c827578",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-17T06:58:52Z",
    "title_canon_sha256": "7960db1e7331e0b3aff3214bc89616f0d9f5ca08de995769b3ff6b6b00c7bf59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05080",
    "kind": "arxiv",
    "version": 1
  }
}