Pith Number

pith:NBKTZUZ3

pith:2012:NBKTZUZ3GC5U2UYO2UJBJO4AWF

not attested not anchored not stored refs pending

On the Cusp Forms of Congruence Subgroups of an almost Simple Lie group

Allen Moy, Goran Muic

arxiv:1207.0850 v2 · 2012-07-03 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBKTZUZ3GC5U2UYO2UJBJO4AWF}

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	2026-05-18T03:15:57.775753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68553cd33b30bb4d530ed51214bb80b178c2c8deae80a5d6eeb5f8d1c11fd891

Aliases

arxiv: 1207.0850 · arxiv_version: 1207.0850v2 · doi: 10.48550/arxiv.1207.0850 · pith_short_12: NBKTZUZ3GC5U · pith_short_16: NBKTZUZ3GC5U2UYO · pith_short_8: NBKTZUZ3

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/NBKTZUZ3GC5U2UYO2UJBJO4AWF \
  | 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: 68553cd33b30bb4d530ed51214bb80b178c2c8deae80a5d6eeb5f8d1c11fd891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a399f82f73d7c00343cb1c3af4e4d3addb05858076a6d7e7e19c3f757b15f3e7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-03T22:27:18Z",
    "title_canon_sha256": "167f0c012094ad83a837c0e55065f9eb157ff7844464371916662548e111b2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0850",
    "kind": "arxiv",
    "version": 2
  }
}