Pith Number

pith:HG65N2CO

pith:2016:HG65N2COHETTDRAV2JTCJ2TVBQ

not attested not anchored not stored refs pending

On cuspidality of global Arthur packets for symplectic groups

Baiying Liu, Dihua Jiang

arxiv:1601.01665 v1 · 2016-01-07 · 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{HG65N2COHETTDRAV2JTCJ2TVBQ}

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	2026-05-18T01:23:12.838823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39bdd6e84e392731c415d26624ea750c11b079d77ac9381a49b9dfd68f3d3bc4

Aliases

arxiv: 1601.01665 · arxiv_version: 1601.01665v1 · doi: 10.48550/arxiv.1601.01665 · pith_short_12: HG65N2COHETT · pith_short_16: HG65N2COHETTDRAV · pith_short_8: HG65N2CO

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/HG65N2COHETTDRAV2JTCJ2TVBQ \
  | 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: 39bdd6e84e392731c415d26624ea750c11b079d77ac9381a49b9dfd68f3d3bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815c53c4f997f4eb3ce6cc48ca38919ead9900a3a1848fd9a809002b9c63eb58",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-07T20:53:59Z",
    "title_canon_sha256": "a3f964446c445d673b779407d7fdb2e72ee8a262e8c7c9ce8272414a2b665cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01665",
    "kind": "arxiv",
    "version": 1
  }
}