Pith Number

pith:5I65YEKG

pith:2018:5I65YEKGSOENNQCRDJOBONE3MP

not attested not anchored not stored refs pending

Gamma factors for Asai representations of ${\rm GL}_2$

Isao Ishikawa, Shih-Yu Chen, Yao Cheng

arxiv:1810.12561 v1 · 2018-10-30 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5I65YEKGSOENNQCRDJOBONE3MP}

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	2026-05-18T00:01:56.709553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea3ddc11469388d6c0511a5c17349b63f13eabb27d0325975b6e9c56ec95d43c

Aliases

arxiv: 1810.12561 · arxiv_version: 1810.12561v1 · doi: 10.48550/arxiv.1810.12561 · pith_short_12: 5I65YEKGSOEN · pith_short_16: 5I65YEKGSOENNQCR · pith_short_8: 5I65YEKG

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/5I65YEKGSOENNQCRDJOBONE3MP \
  | 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: ea3ddc11469388d6c0511a5c17349b63f13eabb27d0325975b6e9c56ec95d43c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885d781ebac0d582cd300e04d38f0007b9bc1c61f6cf27a4360c35e03b717da3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-30T07:55:59Z",
    "title_canon_sha256": "3c88d383cbda2c31da7be38b0f29a935705ccc017989d715fbebd3f2304d7804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12561",
    "kind": "arxiv",
    "version": 1
  }
}