Pith Number

pith:6GJFJZBT

pith:2014:6GJFJZBT3TDH7CGHEOIT6OATUX

not attested not anchored not stored refs pending

Coxeter groups and random groups

Danny Calegari

arxiv:1411.1506 v2 · 2014-11-06 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GJFJZBT3TDH7CGHEOIT6OATUX}

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	2026-05-18T02:19:35.870986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19254e433dcc67f88c723913f3813a5ea5f4877e1ee02172a705f6a54ac4507

Aliases

arxiv: 1411.1506 · arxiv_version: 1411.1506v2 · doi: 10.48550/arxiv.1411.1506 · pith_short_12: 6GJFJZBT3TDH · pith_short_16: 6GJFJZBT3TDH7CGH · pith_short_8: 6GJFJZBT

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/6GJFJZBT3TDH7CGHEOIT6OATUX \
  | 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: f19254e433dcc67f88c723913f3813a5ea5f4877e1ee02172a705f6a54ac4507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc71f1699259650a204c97e484c841a4b3f9fadac9361d5712b64c3fad199a1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-06T05:58:36Z",
    "title_canon_sha256": "1c085f4239a65055e372efbe9f6e89d67858eb80d58e28282bc0b166e783f105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1506",
    "kind": "arxiv",
    "version": 2
  }
}