Pith Number

pith:BCS33YAN

pith:2008:BCS33YANAUFQBU5ER2EMXCMFGV

not attested not anchored not stored refs pending

Stable length in stable groups

D. Kotschick

arxiv:0806.2771 v1 · 2008-06-17 · 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{BCS33YANAUFQBU5ER2EMXCMFGV}

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	2026-05-18T03:35:26.836421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a5bde00d050b00d3a48e88cb898535478a4c4ccf9f3eeadf89e2978ae219e5

Aliases

arxiv: 0806.2771 · arxiv_version: 0806.2771v1 · doi: 10.48550/arxiv.0806.2771 · pith_short_12: BCS33YANAUFQ · pith_short_16: BCS33YANAUFQBU5E · pith_short_8: BCS33YAN

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/BCS33YANAUFQBU5ER2EMXCMFGV \
  | 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: 08a5bde00d050b00d3a48e88cb898535478a4c4ccf9f3eeadf89e2978ae219e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8469a7e7f96f905c0194f22e9a9030d618c24bc37dcec6208ec8948527e431bd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-06-17T12:24:16Z",
    "title_canon_sha256": "103c5a6533f236f8261d255a8ab9ae0875f3cc98de5798c8ab79437b53dd8714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2771",
    "kind": "arxiv",
    "version": 1
  }
}