Pith Number

pith:7USSOXUS

pith:2015:7USSOXUSKYLMZ2ZMIVEFGD7XDV

not attested not anchored not stored refs pending

Automorphism group of split Cartan modular curves

Josep Gonz\'alez

arxiv:1503.02851 v1 · 2015-03-10 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7USSOXUSKYLMZ2ZMIVEFGD7XDV}

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	2026-05-18T02:25:12.928415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd25275e925616cceb2c4548530ff71d581fb15043421606929cb7bd3cd7f1b5

Aliases

arxiv: 1503.02851 · arxiv_version: 1503.02851v1 · doi: 10.48550/arxiv.1503.02851 · pith_short_12: 7USSOXUSKYLM · pith_short_16: 7USSOXUSKYLMZ2ZM · pith_short_8: 7USSOXUS

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/7USSOXUSKYLMZ2ZMIVEFGD7XDV \
  | 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: fd25275e925616cceb2c4548530ff71d581fb15043421606929cb7bd3cd7f1b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c725d38d2889c2db558f75d00c38b269c22b2c31b43fd2c6fb5d7135e49b82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-10T10:27:07Z",
    "title_canon_sha256": "042353b3c6dee293ba2189dde8cf780ae42c4536d8a00d1812b988e5471364cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02851",
    "kind": "arxiv",
    "version": 1
  }
}