Pith Number

pith:O4SHJFXF

pith:2011:O4SHJFXFAOVDUXAXTZXVDMT2UU

not attested not anchored not stored refs pending

Symmetric Presentations of Coxeter Groups

Ben Fairbairn

arxiv:1104.5595 v1 · 2011-04-29 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4SHJFXFAOVDUXAXTZXVDMT2UU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:23:20.712685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77247496e503aa3a5c179e6f51b27aa51553017e84663ba3fa9c9bd8e77412d4

Aliases

arxiv: 1104.5595 · arxiv_version: 1104.5595v1 · doi: 10.48550/arxiv.1104.5595 · pith_short_12: O4SHJFXFAOVD · pith_short_16: O4SHJFXFAOVDUXAX · pith_short_8: O4SHJFXF

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/O4SHJFXFAOVDUXAXTZXVDMT2UU \
  | 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: 77247496e503aa3a5c179e6f51b27aa51553017e84663ba3fa9c9bd8e77412d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12282db994873f777b5c63fd414e1403f00179fcb0662737136c589314eab4f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-29T10:47:07Z",
    "title_canon_sha256": "f3ba559768d2c05e63c635094250d1e1c0e784bff7dbd7530844dbc843c00499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5595",
    "kind": "arxiv",
    "version": 1
  }
}