Pith Number

pith:F7CIIVSR

pith:2016:F7CIIVSR4L2MLHUWEQOO7PQPKP

not attested not anchored not stored refs pending

Parabolic double cosets in Coxeter groups

Bridget E. Tenner, Matja\v{z} Konvalinka, Sara C. Billey, T. Kyle Petersen, William Slofstra

arxiv:1612.00736 v2 · 2016-12-02 · 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{F7CIIVSR4L2MLHUWEQOO7PQPKP}

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	2026-05-18T00:28:02.584329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc4845651e2f4c59e96241cefbe0f53e84bd61128d4ffbb2e06730ee4b173d5

Aliases

arxiv: 1612.00736 · arxiv_version: 1612.00736v2 · doi: 10.48550/arxiv.1612.00736 · pith_short_12: F7CIIVSR4L2M · pith_short_16: F7CIIVSR4L2MLHUW · pith_short_8: F7CIIVSR

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/F7CIIVSR4L2MLHUWEQOO7PQPKP \
  | 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: 2fc4845651e2f4c59e96241cefbe0f53e84bd61128d4ffbb2e06730ee4b173d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3245fbbc7d422e7450f0647cbf66d007f1b410399afe207c20bbcc93905a9169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-02T16:29:15Z",
    "title_canon_sha256": "d2644a8a0b76a9b726aeefc53f7d13d7ec0c290874458910334b568705343f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00736",
    "kind": "arxiv",
    "version": 2
  }
}