Pith Number

pith:CBSZCW3T

pith:2016:CBSZCW3TTTWEXU2SMTSAKIIELB

not attested not anchored not stored refs pending

Distinguished theta representations for certain covering groups

Fan Gao

arxiv:1602.01880 v3 · 2016-02-04 · 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{CBSZCW3TTTWEXU2SMTSAKIIELB}

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	2026-05-18T00:33:37.119230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1065915b739cec4bd35264e4052104584881f4029c14e369df8e60d8dcc97302

Aliases

arxiv: 1602.01880 · arxiv_version: 1602.01880v3 · doi: 10.48550/arxiv.1602.01880 · pith_short_12: CBSZCW3TTTWE · pith_short_16: CBSZCW3TTTWEXU2S · pith_short_8: CBSZCW3T

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/CBSZCW3TTTWEXU2SMTSAKIIELB \
  | 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: 1065915b739cec4bd35264e4052104584881f4029c14e369df8e60d8dcc97302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d328085f6378fa546a83bcbbb95213cd9fda2123321634401a94448854255694",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-04T23:19:06Z",
    "title_canon_sha256": "ad33002ab59c3cbe3446a832363c2a391005faa97dc3d22be58324cb407ef800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01880",
    "kind": "arxiv",
    "version": 3
  }
}