Pith Number

pith:J3SU7LET

pith:2015:J3SU7LETSA7CQIFR4WAA4PAZKB

not attested not anchored not stored refs pending

On tensor third $L$-functions of automorphic representations of $\mathrm{GL}_n(\mathbb{A}_F)$

Heekyoung Hahn

arxiv:1509.01863 v1 · 2015-09-06 · 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{J3SU7LETSA7CQIFR4WAA4PAZKB}

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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	2026-05-18T01:33:50.347524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee54fac93903e2820b1e5800e3c1950403e89b7edf8ebf28586875c01dac03d

Aliases

arxiv: 1509.01863 · arxiv_version: 1509.01863v1 · doi: 10.48550/arxiv.1509.01863 · pith_short_12: J3SU7LETSA7C · pith_short_16: J3SU7LETSA7CQIFR · pith_short_8: J3SU7LET

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/J3SU7LETSA7CQIFR4WAA4PAZKB \
  | 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: 4ee54fac93903e2820b1e5800e3c1950403e89b7edf8ebf28586875c01dac03d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b22dc1e2134ae4d3a481ca28b2cdc5439a7a6af4d296460e40aa07c228a8c407",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-06T22:59:49Z",
    "title_canon_sha256": "c0e3506cfcf3d7570c5fdfff0f0e288d12f903faa8ce7dfbe02971b41d996875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01863",
    "kind": "arxiv",
    "version": 1
  }
}