Pith Number

pith:46IVD3K6

pith:2008:46IVD3K62AREERJQ7TVPKQ73RM

not attested not anchored not stored refs pending

The congruence subgroup property for the hyperelliptic modular group: the open surface case

Marco Boggi

arxiv:0803.3841 v6 · 2008-03-27 · math.AG · 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{46IVD3K62AREERJQ7TVPKQ73RM}

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	2026-05-18T00:18:27.302083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79151ed5ed022424530fceaf543fb8b3a3c08f2eb3ee7d09787a4ba6689f782

Aliases

arxiv: 0803.3841 · arxiv_version: 0803.3841v6 · doi: 10.48550/arxiv.0803.3841 · pith_short_12: 46IVD3K62ARE · pith_short_16: 46IVD3K62AREERJQ · pith_short_8: 46IVD3K6

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/46IVD3K62AREERJQ7TVPKQ73RM \
  | 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: e79151ed5ed022424530fceaf543fb8b3a3c08f2eb3ee7d09787a4ba6689f782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d549822bfd0577e3662c24fa503f4cc9da795eea6c239ba97280a6659bcac2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-03-27T00:18:45Z",
    "title_canon_sha256": "06edf9da95edc1b98ec33129857c5ef11e009c17c3ab60bb82465c19d3d987d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3841",
    "kind": "arxiv",
    "version": 6
  }
}