Pith Number

pith:OFGJSJGY

pith:2006:OFGJSJGYQ6CIRY3W4ZB5DC2VIF

not attested not anchored not stored refs pending

Fifteen problems about the mapping class groups

Nikolai V. Ivanov

arxiv:math/0608325 v1 · 2006-08-14 · math.GT · math.GR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFGJSJGYQ6CIRY3W4ZB5DC2VIF}

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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.

Cited by

1 paper in Pith

Abelianizations of finite-index subgroups of the handlebody group

Receipt and verification

First computed	2026-07-04T14:56:06.709967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

714c9924d8878488e376e643d18b55414dc9d56c77e2aa98918b5678674102f4

Aliases

arxiv: math/0608325 · arxiv_version: math/0608325v1 · doi: 10.48550/arxiv.math/0608325 · pith_short_12: OFGJSJGYQ6CI · pith_short_16: OFGJSJGYQ6CIRY3W · pith_short_8: OFGJSJGY

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/OFGJSJGYQ6CIRY3W4ZB5DC2VIF \
  | 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: 714c9924d8878488e376e643d18b55414dc9d56c77e2aa98918b5678674102f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e987f5c35177d8145f92140ee0393157b1d44942d680b60a011e7e5a4725928c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-08-14T02:24:49Z",
    "title_canon_sha256": "69117bc4241546c52762735cebf2e297b19f5787c969993e27debb9de7c891b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608325",
    "kind": "arxiv",
    "version": 1
  }
}