Pith Number

pith:JX7ERRHT

pith:2011:JX7ERRHTKNNZXDLX7AVEMCYOVG

not attested not anchored not stored refs pending

On the shard intersection order of a Coxeter group

T. Kyle Petersen

arxiv:1108.5761 v2 · 2011-08-29 · 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{JX7ERRHTKNNZXDLX7AVEMCYOVG}

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	2026-05-18T03:20:57.126067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dfe48c4f3535b9b8d77f82a460b0ea9b61014d39b1c5819336694a7859550ec

Aliases

arxiv: 1108.5761 · arxiv_version: 1108.5761v2 · doi: 10.48550/arxiv.1108.5761 · pith_short_12: JX7ERRHTKNNZ · pith_short_16: JX7ERRHTKNNZXDLX · pith_short_8: JX7ERRHT

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/JX7ERRHTKNNZXDLX7AVEMCYOVG \
  | 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: 4dfe48c4f3535b9b8d77f82a460b0ea9b61014d39b1c5819336694a7859550ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d52c3f9703c6e12ba3f74015eff24b80f8d92fbdeb9318de8e69cb150feec5fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-29T21:35:40Z",
    "title_canon_sha256": "8ca1c19f216fa7a70a689c861cf7f8fff45a2e16054802a8ca2464897b923ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5761",
    "kind": "arxiv",
    "version": 2
  }
}