Pith Number

pith:XDGAVSZA

pith:2008:XDGAVSZAQRKMQ7DP5IUUKOMS3R

not attested not anchored not stored refs pending

Minimality of the well-rounded retract

Alexandra Pettet, Juan Souto

arxiv:0803.1333 v1 · 2008-03-10 · 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{XDGAVSZAQRKMQ7DP5IUUKOMS3R}

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	2026-05-18T01:22:31.121358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cc0acb208454c87c6fea29453992dc7f682fbd42e25b523c2898e2e9988fe0

Aliases

arxiv: 0803.1333 · arxiv_version: 0803.1333v1 · doi: 10.48550/arxiv.0803.1333 · pith_short_12: XDGAVSZAQRKM · pith_short_16: XDGAVSZAQRKMQ7DP · pith_short_8: XDGAVSZA

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/XDGAVSZAQRKMQ7DP5IUUKOMS3R \
  | 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: b8cc0acb208454c87c6fea29453992dc7f682fbd42e25b523c2898e2e9988fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce99a493b24c82774b0faed18d3eda062374e16997356146608587ece0fbeff8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-03-10T01:39:31Z",
    "title_canon_sha256": "766ffdd7ab1966971d6dd122219a340b76721099100f2945a9ae178de682b69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1333",
    "kind": "arxiv",
    "version": 1
  }
}