Pith Number

pith:G7SM4IWA

pith:2018:G7SM4IWAZI7T7HHUATALFLV7Z2

not attested not anchored not stored refs pending

Minimal asymptotic translation lengths of Torelli groups and pure braid groups on the curve graph

Hyungryul Baik, Hyunshik Shin

arxiv:1802.04507 v2 · 2018-02-13 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7SM4IWAZI7T7HHUATALFLV7Z2}

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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	2026-05-18T00:01:49.042020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e4ce22c0ca3f3f9cf404c0b2aebfce8e178c2ed50f673775e019ba0f570e1b

Aliases

arxiv: 1802.04507 · arxiv_version: 1802.04507v2 · doi: 10.48550/arxiv.1802.04507 · pith_short_12: G7SM4IWAZI7T · pith_short_16: G7SM4IWAZI7T7HHU · pith_short_8: G7SM4IWA

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/G7SM4IWAZI7T7HHUATALFLV7Z2 \
  | 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: 37e4ce22c0ca3f3f9cf404c0b2aebfce8e178c2ed50f673775e019ba0f570e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8341ad845be7ffa4e324c1a114f74603e67fbdf417f6dc6dbdaf17fc189cc49",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-13T08:38:31Z",
    "title_canon_sha256": "c1df66dafeeb18e09b532ea8032cdff41a486e800d5d3e22965240559b88963d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04507",
    "kind": "arxiv",
    "version": 2
  }
}