Pith Number

pith:CETN4S3H

pith:2006:CETN4S3HIUJQ3EQIHWNMVTFOXP

not attested not anchored not stored refs pending

Finite complex reflection arrangements are K(pi,1)

David Bessis

arxiv:math/0610777 v5 · 2006-10-26 · math.GT · 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{CETN4S3HIUJQ3EQIHWNMVTFOXP}

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	2026-05-18T03:01:22.594595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1126de4b6745130d92083d9acaccaebbcc6bfb9f94699ec8e68e6d2b97ea7cb8

Aliases

arxiv: math/0610777 · arxiv_version: math/0610777v5 · doi: 10.48550/arxiv.math/0610777 · pith_short_12: CETN4S3HIUJQ · pith_short_16: CETN4S3HIUJQ3EQI · pith_short_8: CETN4S3H

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/CETN4S3HIUJQ3EQIHWNMVTFOXP \
  | 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: 1126de4b6745130d92083d9acaccaebbcc6bfb9f94699ec8e68e6d2b97ea7cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e9cc6fc09bdd68e8532a916891716cf55d24b4f769c91f6ca55f429e680c7f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2006-10-26T06:20:55Z",
    "title_canon_sha256": "209f4346407b9d5d986fc5f8e272d0e09a1900f13b0af2abbadf0ed1af3200cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610777",
    "kind": "arxiv",
    "version": 5
  }
}