Pith Number

pith:X27XFYRX

pith:2017:X27XFYRXLCCADLXBQJNDJXUVSU

not attested not anchored not stored refs pending

Symmetric group representations and Z

Alexander Yong, Anshul Adve

arxiv:1707.00020 v1 · 2017-06-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X27XFYRXLCCADLXBQJNDJXUVSU}

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	2026-05-18T00:24:59.882454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bebf72e237588401aee1825a34de95952159191db470d9a7eccaceb5b8a7db94

Aliases

arxiv: 1707.00020 · arxiv_version: 1707.00020v1 · doi: 10.48550/arxiv.1707.00020 · pith_short_12: X27XFYRXLCCA · pith_short_16: X27XFYRXLCCADLXB · pith_short_8: X27XFYRX

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/X27XFYRXLCCADLXBQJNDJXUVSU \
  | 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: bebf72e237588401aee1825a34de95952159191db470d9a7eccaceb5b8a7db94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80605e67bc174aa651d50c87c94de450047103fede1060ba016bfec2b11ee9d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-30T18:37:59Z",
    "title_canon_sha256": "9f780002be1570ed1f5d367f85d28685603d8ac413b88fb9a3cfc7f0f6607914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00020",
    "kind": "arxiv",
    "version": 1
  }
}