Pith Number

pith:Y4Q2AEPE

pith:2012:Y4Q2AEPEPOQXTZNDNR3V37OJJK

not attested not anchored not stored refs pending

Hecke modules and supersingular representations of U(2,1)

Karol Koziol, Peng Xu

arxiv:1204.1273 v2 · 2012-04-05 · math.RT · 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{Y4Q2AEPEPOQXTZNDNR3V37OJJK}

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	2026-05-18T02:41:26.409092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c721a011e47ba179e5a36c775dfdc94aa2ec2c477e5a300b8af28ac925b32e77

Aliases

arxiv: 1204.1273 · arxiv_version: 1204.1273v2 · doi: 10.48550/arxiv.1204.1273 · pith_short_12: Y4Q2AEPEPOQX · pith_short_16: Y4Q2AEPEPOQXTZND · pith_short_8: Y4Q2AEPE

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/Y4Q2AEPEPOQXTZNDNR3V37OJJK \
  | 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: c721a011e47ba179e5a36c775dfdc94aa2ec2c477e5a300b8af28ac925b32e77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0e2623ae966f1419d04324af2ab78e647c9bc25f2648a30f69e2204cf7d4636",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-05T16:47:26Z",
    "title_canon_sha256": "e110e4776f55e6988cf9815f46d958d201230fc82e38072941e7aad2cf185922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1273",
    "kind": "arxiv",
    "version": 2
  }
}