Pith Number

pith:4S22YNG2

pith:2018:4S22YNG2LGL3WPLADWFLREAQS2

not attested not anchored not stored refs pending

Test vectors for some ramified representations

V. Vatsal

arxiv:1806.07856 v1 · 2018-06-20 · 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{4S22YNG2LGL3WPLADWFLREAQS2}

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	2026-05-18T00:12:46.436944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b5ac34da5997bb3d601d8ab8901096aba0ca770b3af9e16ae9b64ee81acc14

Aliases

arxiv: 1806.07856 · arxiv_version: 1806.07856v1 · doi: 10.48550/arxiv.1806.07856 · pith_short_12: 4S22YNG2LGL3 · pith_short_16: 4S22YNG2LGL3WPLA · pith_short_8: 4S22YNG2

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/4S22YNG2LGL3WPLADWFLREAQS2 \
  | 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: e4b5ac34da5997bb3d601d8ab8901096aba0ca770b3af9e16ae9b64ee81acc14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d80c61e892949831b74d938a5630169aa4a2502cf716823af57a8eed9cbc708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-06-20T17:27:07Z",
    "title_canon_sha256": "ee923957898bcb740383c053cdc30dcf596b31ff237c966e97866e109bfef17e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07856",
    "kind": "arxiv",
    "version": 1
  }
}