Pith Number

pith:OD7GLIPY

pith:2009:OD7GLIPYRPZWKBC5RZIQ6CYCCH

not attested not anchored not stored refs pending

Non-cancellable elements in type affine $C$ Coxeter groups

Dana C. Ernst

arxiv:0910.0923 v4 · 2009-10-06 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OD7GLIPYRPZWKBC5RZIQ6CYCCH}

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	2026-05-18T00:26:52.342747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70fe65a1f88bf365045d8e510f0b0211f37b2ad152f4158b47a99a166b6020d7

Aliases

arxiv: 0910.0923 · arxiv_version: 0910.0923v4 · doi: 10.48550/arxiv.0910.0923 · pith_short_12: OD7GLIPYRPZW · pith_short_16: OD7GLIPYRPZWKBC5 · pith_short_8: OD7GLIPY

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/OD7GLIPYRPZWKBC5RZIQ6CYCCH \
  | 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: 70fe65a1f88bf365045d8e510f0b0211f37b2ad152f4158b47a99a166b6020d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd17d7aa05e8740db71bed0de311d7d3658104ecc37b489435f47d734b9459a0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-10-06T05:05:38Z",
    "title_canon_sha256": "3bd0171a0b92e9e24a03e8fb0fa45072b82e00fefaa4484bfa6ac6ded4647629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0923",
    "kind": "arxiv",
    "version": 4
  }
}