Pith Number

pith:262R3Y4E

pith:2010:262R3Y4EQ4ZTVO7CIJIRDGV66F

not attested not anchored not stored refs pending

Generators of Picard modular groups

Baohua Xie, Jieyan Wang, Yueping Jiang

arxiv:1003.2705 v2 · 2010-03-13 · 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{262R3Y4EQ4ZTVO7CIJIRDGV66F}

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	2026-05-18T04:00:39.555424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7b51de38487333abbe24251119abef17e3db716f09db238a64938676bb7b494

Aliases

arxiv: 1003.2705 · arxiv_version: 1003.2705v2 · doi: 10.48550/arxiv.1003.2705 · pith_short_12: 262R3Y4EQ4ZT · pith_short_16: 262R3Y4EQ4ZTVO7C · pith_short_8: 262R3Y4E

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/262R3Y4EQ4ZTVO7CIJIRDGV66F \
  | 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: d7b51de38487333abbe24251119abef17e3db716f09db238a64938676bb7b494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d739efda965a7137459b57f912d30b59a4e0fe9e508ffbd5e6125631eb49e4de",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-13T13:22:49Z",
    "title_canon_sha256": "b3a2a20ea9d06bba479223b3ee96c5a660a62463250fb3da4370baf8df7c526b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2705",
    "kind": "arxiv",
    "version": 2
  }
}