Pith Number

pith:PIYJJR7K

pith:2015:PIYJJR7KV2LXVTRYUACNWZY6IQ

not attested not anchored not stored refs pending

Asymptotics for cuspidal representations by functoriality from GL(2)

Huixue Lao, Mark McKee, Yangbo Ye

arxiv:1510.01208 v1 · 2015-10-05 · 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{PIYJJR7KV2LXVTRYUACNWZY6IQ}

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	2026-05-18T01:31:04.562358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3094c7eaae977ace38a004db671e4422d75eb31b2cbeab32e9651569e82cde

Aliases

arxiv: 1510.01208 · arxiv_version: 1510.01208v1 · doi: 10.48550/arxiv.1510.01208 · pith_short_12: PIYJJR7KV2LX · pith_short_16: PIYJJR7KV2LXVTRY · pith_short_8: PIYJJR7K

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/PIYJJR7KV2LXVTRYUACNWZY6IQ \
  | 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: 7a3094c7eaae977ace38a004db671e4422d75eb31b2cbeab32e9651569e82cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86427db1b639258d3454589e748ca8dec57651dbdf73a06e0732150f123234f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-05T16:21:59Z",
    "title_canon_sha256": "44b6cf11183ac2a6e9070888c34d329f01e03d7466971e2caead2843b941fca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01208",
    "kind": "arxiv",
    "version": 1
  }
}