Pith Number

pith:Q3MDVMO7

pith:2018:Q3MDVMO7QFSVIFIMKQJREVX7Z3

not attested not anchored not stored refs pending

Signatures of surface bundles and stable commutator lengths of Dehn twists

Naoyuki Monden

arxiv:1804.01798 v1 · 2018-04-05 · math.GT · math.GR · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3MDVMO7QFSVIFIMKQJREVX7Z3}

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	2026-05-17T23:41:46.726995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d83ab1df816554150c54131256ffcef3ade31ef9acd8485e335da236e99cf2

Aliases

arxiv: 1804.01798 · arxiv_version: 1804.01798v1 · doi: 10.48550/arxiv.1804.01798 · pith_short_12: Q3MDVMO7QFSV · pith_short_16: Q3MDVMO7QFSVIFIM · pith_short_8: Q3MDVMO7

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/Q3MDVMO7QFSVIFIMKQJREVX7Z3 \
  | 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: 86d83ab1df816554150c54131256ffcef3ade31ef9acd8485e335da236e99cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c008ecb9cc948c7363149d196e24627e1256ea5f207869fd85968d18ac83639",
    "cross_cats_sorted": [
      "math.GR",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-05T12:10:34Z",
    "title_canon_sha256": "afb68b55f2d0ded4381d5d8ab609fb20a709b85ee731928e3373e3d34ae62c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01798",
    "kind": "arxiv",
    "version": 1
  }
}