Pith Number

pith:GZGPVFHM

pith:2013:GZGPVFHM2HSJYPCOVAHMPQFYBU

not attested not anchored not stored refs pending

Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups

Baiying Liu, Dihua Jiang

arxiv:1309.6239 v3 · 2013-09-24 · 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{GZGPVFHM2HSJYPCOVAHMPQFYBU}

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	2026-05-18T01:53:09.707663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364cfa94ecd1e49c3c4ea80ec7c0b80d39ad2573a87f848d6df694758072f0d4

Aliases

arxiv: 1309.6239 · arxiv_version: 1309.6239v3 · doi: 10.48550/arxiv.1309.6239 · pith_short_12: GZGPVFHM2HSJ · pith_short_16: GZGPVFHM2HSJYPCO · pith_short_8: GZGPVFHM

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/GZGPVFHM2HSJYPCOVAHMPQFYBU \
  | 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: 364cfa94ecd1e49c3c4ea80ec7c0b80d39ad2573a87f848d6df694758072f0d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e311dcc88dfe693d5c718c79f0a6d1f7d0ec8694a84592953c689e37212dd86",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-24T16:13:43Z",
    "title_canon_sha256": "6904a703ebedd95dd227c50ce0c5068e86b0a7af78aec4ff39fec5df77dafa3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6239",
    "kind": "arxiv",
    "version": 3
  }
}