Pith Number

pith:OAAT4A6G

pith:2014:OAAT4A6GZEJGS7J77MTEBG3SSR

not attested not anchored not stored refs pending

Large values of newforms on GL(2) with highly ramified central character

Abhishek Saha

arxiv:1412.5570 v5 · 2014-12-17 · 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{OAAT4A6GZEJGS7J77MTEBG3SSR}

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	2026-05-18T01:30:08.199533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70013e03c6c912697d3ffb26409b72945448b4ac9fcc83e4a931e1a567a09ce2

Aliases

arxiv: 1412.5570 · arxiv_version: 1412.5570v5 · doi: 10.48550/arxiv.1412.5570 · pith_short_12: OAAT4A6GZEJG · pith_short_16: OAAT4A6GZEJGS7J7 · pith_short_8: OAAT4A6G

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/OAAT4A6GZEJGS7J77MTEBG3SSR \
  | 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: 70013e03c6c912697d3ffb26409b72945448b4ac9fcc83e4a931e1a567a09ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f49acc33f2828cbb910752b95912cc7245446cba949b9f3c208ec29b64564ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-17T20:46:12Z",
    "title_canon_sha256": "803ce24063d062aa43b3e6411a92e4b92502a778c6ed68f26d15c1a76ff31d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5570",
    "kind": "arxiv",
    "version": 5
  }
}