Pith Number

pith:54B4HL56

pith:2017:54B4HL56XY7CO6RGW6OKV62F75

not attested not anchored not stored refs pending

On Some Applications of Group Representation Theory to Algebraic Problems Related to the Congruence Principle for Equivariant Maps

Hao-pin Wu, Mikhail Muzychuk, Zalman Balanov

arxiv:1706.02756 v1 · 2017-06-08 · 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{54B4HL56XY7CO6RGW6OKV62F75}

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	2026-05-18T00:42:41.067434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef03c3afbebe3e277a26b79caafb45ff7fd92325939bc59f3a51bf1ed29d3ad3

Aliases

arxiv: 1706.02756 · arxiv_version: 1706.02756v1 · doi: 10.48550/arxiv.1706.02756 · pith_short_12: 54B4HL56XY7C · pith_short_16: 54B4HL56XY7CO6RG · pith_short_8: 54B4HL56

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/54B4HL56XY7CO6RGW6OKV62F75 \
  | 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: ef03c3afbebe3e277a26b79caafb45ff7fd92325939bc59f3a51bf1ed29d3ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbb198563a2d712e87a8388baa7bb0f501eebf09189f6ec501013721ff6dc66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-06-08T20:28:06Z",
    "title_canon_sha256": "467a3e7325eaab35cbe2dd8b67023b12ba02b5d1875c252ba711a0ae38ecb882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02756",
    "kind": "arxiv",
    "version": 1
  }
}