Pith Number

pith:BWLX45JK

pith:2005:BWLX45JKTM2LY4KXWCIF6IHXVG

not attested not anchored not stored refs pending

Euclidean simplices generating discrete reflection groups

Anna Felikson, Pavel Tumarkin

arxiv:math/0502108 v1 · 2005-02-05 · math.MG · 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{BWLX45JKTM2LY4KXWCIF6IHXVG}

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	2026-05-18T01:05:23.772162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d977e752a9b34bc7157b0905f20f7a9aabdfced05d500f9d44d2d03c36b9f1a

Aliases

arxiv: math/0502108 · arxiv_version: math/0502108v1 · doi: 10.48550/arxiv.math/0502108 · pith_short_12: BWLX45JKTM2L · pith_short_16: BWLX45JKTM2LY4KX · pith_short_8: BWLX45JK

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/BWLX45JKTM2LY4KXWCIF6IHXVG \
  | 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: 0d977e752a9b34bc7157b0905f20f7a9aabdfced05d500f9d44d2d03c36b9f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7b8419f5a9fc4c317bde339e4eec0812038581f6d2a01a91c51b629abce24d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2005-02-05T12:14:42Z",
    "title_canon_sha256": "34055a441d6042b3eef0498c5defaa2e318c65693db622729d305f997e960951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502108",
    "kind": "arxiv",
    "version": 1
  }
}