Pith Number

pith:MJD4GGQR

pith:2016:MJD4GGQROZ7JGQBTQ27LU7JY62

not attested not anchored not stored refs pending

On the dependence of the local Rankin-Selberg gamma factors of $\textrm{Sp}_{2n}\times \textrm{GL}_m$ on $\psi$

Qing Zhang

arxiv:1601.07618 v2 · 2016-01-28 · 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{MJD4GGQROZ7JGQBTQ27LU7JY62}

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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	2026-05-18T00:52:31.122137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6247c31a11767e93403386beba7d38f6b96f8436f87c25b862f9b7b817be7502

Aliases

arxiv: 1601.07618 · arxiv_version: 1601.07618v2 · doi: 10.48550/arxiv.1601.07618 · pith_short_12: MJD4GGQROZ7J · pith_short_16: MJD4GGQROZ7JGQBT · pith_short_8: MJD4GGQR

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/MJD4GGQROZ7JGQBTQ27LU7JY62 \
  | 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: 6247c31a11767e93403386beba7d38f6b96f8436f87c25b862f9b7b817be7502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af62a48040cd3e01f4e8325ddb6e7092e84eca7866c95aacb9001e71e790bfb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-28T01:42:39Z",
    "title_canon_sha256": "8c2f1192b80825c44370ab5480d4fa0e3b352f93dda768ecba666af1b3f6a193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07618",
    "kind": "arxiv",
    "version": 2
  }
}