Pith Number

pith:PVFKTX2M

pith:2019:PVFKTX2MPQJEQSJFYMTWV4CHSF

not attested not anchored not stored refs pending

The lowest two-sided cell of weighted Coxeter groups of rank 3

Jianwei Gao

arxiv:1901.00161 v3 · 2019-01-01 · 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{PVFKTX2MPQJEQSJFYMTWV4CHSF}

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	2026-05-17T23:50:33.434571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4aa9df4c7c12484925c3276af047914189d5b6f7bc99bcd8a3654c7c0214c6

Aliases

arxiv: 1901.00161 · arxiv_version: 1901.00161v3 · doi: 10.48550/arxiv.1901.00161 · pith_short_12: PVFKTX2MPQJE · pith_short_16: PVFKTX2MPQJEQSJF · pith_short_8: PVFKTX2M

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/PVFKTX2MPQJEQSJFYMTWV4CHSF \
  | 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: 7d4aa9df4c7c12484925c3276af047914189d5b6f7bc99bcd8a3654c7c0214c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c445b66c727af3afa37af73ff858320369a72076311dd1735388045f92849248",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-01-01T15:08:26Z",
    "title_canon_sha256": "50ec91fc58613a1753f63af84cc2fcd5639b55371751aa1155c625076ef19216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00161",
    "kind": "arxiv",
    "version": 3
  }
}