Pith Number

pith:MWSXX7UP

pith:2015:MWSXX7UPFT4QKWD5WZNCZ5UA7E

not attested not anchored not stored refs pending

Generalized Reflection Root Systems

Ary Shaviv, Maria Gorelik

arxiv:1507.08819 v1 · 2015-07-31 · 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{MWSXX7UPFT4QKWD5WZNCZ5UA7E}

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	2026-05-18T00:34:31.912850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a57bfe8f2cf905587db65a2cf680f91d8438ae1312c6e4859fbad2ab8fe3ff

Aliases

arxiv: 1507.08819 · arxiv_version: 1507.08819v1 · doi: 10.48550/arxiv.1507.08819 · pith_short_12: MWSXX7UPFT4Q · pith_short_16: MWSXX7UPFT4QKWD5 · pith_short_8: MWSXX7UP

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/MWSXX7UPFT4QKWD5WZNCZ5UA7E \
  | 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: 65a57bfe8f2cf905587db65a2cf680f91d8438ae1312c6e4859fbad2ab8fe3ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40de7d1f471dea7ed7f7e2baeac5c9213655c8c40ebb96ad016bceb035f610b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-31T10:19:50Z",
    "title_canon_sha256": "bf4763fef27d35e098b497cc0f1ca220fb769c6f6d2147b66a5a77ae619fce69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08819",
    "kind": "arxiv",
    "version": 1
  }
}