Pith Number

pith:LZ3UARRN

pith:2018:LZ3UARRNAN4TT6TDSHUVPZI36G

not attested not anchored not stored refs pending

Two simultaneous actions of big mapping class groups

Alden Walker, Juliette Bavard

arxiv:1806.10272 v1 · 2018-06-27 · 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{LZ3UARRNAN4TT6TDSHUVPZI36G}

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	2026-05-18T00:12:12.960956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e7740462d037939fa6391e957e51bf18c29773d2d5f2a35bc16441e7ff68659

Aliases

arxiv: 1806.10272 · arxiv_version: 1806.10272v1 · doi: 10.48550/arxiv.1806.10272 · pith_short_12: LZ3UARRNAN4T · pith_short_16: LZ3UARRNAN4TT6TD · pith_short_8: LZ3UARRN

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/LZ3UARRNAN4TT6TDSHUVPZI36G \
  | 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: 5e7740462d037939fa6391e957e51bf18c29773d2d5f2a35bc16441e7ff68659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0144f868a4dbbfac4d441ffd10e07073dcb54a5ecc2494154f590e26f6635c05",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-27T02:27:25Z",
    "title_canon_sha256": "d41a72d0c1143c1f7d472a2c253d90a03eaa0f45021c18b7ed177fae591572ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10272",
    "kind": "arxiv",
    "version": 1
  }
}