Pith Number

pith:WVY4AUCD

pith:2013:WVY4AUCDNJWHO6UT7TPXWU3IPC

not attested not anchored not stored refs pending

Some monodromy groups of finite index in $Sp_4(\mathbb{Z})$

Duco van Straten, J\"org Hofmann

arxiv:1312.3063 v1 · 2013-12-11 · 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{WVY4AUCDNJWHO6UT7TPXWU3IPC}

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	2026-05-18T02:19:28.674043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b571c050436a6c777a93fcdf7b536878a1b16e847b05b834ce6b9f41d4b8fd84

Aliases

arxiv: 1312.3063 · arxiv_version: 1312.3063v1 · doi: 10.48550/arxiv.1312.3063 · pith_short_12: WVY4AUCDNJWH · pith_short_16: WVY4AUCDNJWHO6UT · pith_short_8: WVY4AUCD

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/WVY4AUCDNJWHO6UT7TPXWU3IPC \
  | 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: b571c050436a6c777a93fcdf7b536878a1b16e847b05b834ce6b9f41d4b8fd84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b3e9ea53b8445b769a83d2218b789f65e778ba1cfe9cbcf05af0e6b3fc9ae9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-11T08:08:51Z",
    "title_canon_sha256": "e7914267f0406c1a0fd3cadf128a0ac2085f788a650ca7870e6a1c1447dddf42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3063",
    "kind": "arxiv",
    "version": 1
  }
}