Pith Number

pith:ENBBHKYX

pith:2018:ENBBHKYXMUVPSCSOCZCXXZCAN5

not attested not anchored not stored refs pending

On top Fourier coefficients of certain automorphic representations of GLn

Baiying Liu, Bin Xu

arxiv:1812.03157 v1 · 2018-12-07 · 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{ENBBHKYXMUVPSCSOCZCXXZCAN5}

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	2026-05-17T23:58:50.778002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

234213ab17652af90a4e16457be4406f6156b01c114c14748b3c832e6af663c5

Aliases

arxiv: 1812.03157 · arxiv_version: 1812.03157v1 · doi: 10.48550/arxiv.1812.03157 · pith_short_12: ENBBHKYXMUVP · pith_short_16: ENBBHKYXMUVPSCSO · pith_short_8: ENBBHKYX

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/ENBBHKYXMUVPSCSOCZCXXZCAN5 \
  | 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: 234213ab17652af90a4e16457be4406f6156b01c114c14748b3c832e6af663c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9a311ad56a007ea11352e2d4580651c3ec197d3697ccc140e9edc9a42f26e7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-07T18:47:32Z",
    "title_canon_sha256": "87802eb8bfec6e1521955d4ccc98279feff9c71777ee7bd7a250a8807335c0b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03157",
    "kind": "arxiv",
    "version": 1
  }
}