Pith Number

pith:GZ4KK7NB

pith:2014:GZ4KK7NBXZEW7PIPJQSTD7MDKN

not attested not anchored not stored refs pending

On Fourier coefficients of certain residual representations of symplectic groups

Baiying Liu, Dihua Jiang

arxiv:1412.7548 v2 · 2014-12-23 · 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{GZ4KK7NBXZEW7PIPJQSTD7MDKN}

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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	2026-05-18T01:20:12.064835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3678a57da1be496fbd0f4c2531fd835354409df95de6a654307f14517a0ca15e

Aliases

arxiv: 1412.7548 · arxiv_version: 1412.7548v2 · doi: 10.48550/arxiv.1412.7548 · pith_short_12: GZ4KK7NBXZEW · pith_short_16: GZ4KK7NBXZEW7PIP · pith_short_8: GZ4KK7NB

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/GZ4KK7NBXZEW7PIPJQSTD7MDKN \
  | 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: 3678a57da1be496fbd0f4c2531fd835354409df95de6a654307f14517a0ca15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "163afa33e1b5af33f465d7b390409d82376c5fd822141c6ddd585efc2f4b920b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-23T21:16:14Z",
    "title_canon_sha256": "10ddccc489cb85a0c3b7d234f3fac77f3d76517308c0ef3ca596c2029f4e92a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7548",
    "kind": "arxiv",
    "version": 2
  }
}