Pith Number

pith:FAKZ7FZF

pith:2018:FAKZ7FZFQSDVTVCZMFLBE32AEG

not attested not anchored not stored refs pending

Congruence topologies on the mapping class group

Marco Boggi

arxiv:1804.06322 v1 · 2018-04-17 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAKZ7FZFQSDVTVCZMFLBE32AEG}

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	2026-05-18T00:18:21.006410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28159f9725848759d4596156126f4021955b8729d37dedb0c64728abd06802a9

Aliases

arxiv: 1804.06322 · arxiv_version: 1804.06322v1 · doi: 10.48550/arxiv.1804.06322 · pith_short_12: FAKZ7FZFQSDV · pith_short_16: FAKZ7FZFQSDVTVCZ · pith_short_8: FAKZ7FZF

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/FAKZ7FZFQSDVTVCZMFLBE32AEG \
  | 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: 28159f9725848759d4596156126f4021955b8729d37dedb0c64728abd06802a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11bba6cada39a68717b0bc60be81f2876a939c3b0a3f22f771bb31149f20a721",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-17T15:33:53Z",
    "title_canon_sha256": "7032749c03d9889fcec87d5dc84a202dab13c6ffcd0d8f06b9f76f6e2bf5c983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06322",
    "kind": "arxiv",
    "version": 1
  }
}