Pith Number

pith:V5D2CDNO

pith:2019:V5D2CDNO7UJZYL7G53PC4M27XS

not attested not anchored not stored refs pending

The error term in the Sato-Tate theorem of Birch

M. Ram Murty, Neha Prabhu

arxiv:1906.03534 v1 · 2019-06-08 · 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{V5D2CDNO7UJZYL7G53PC4M27XS}

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	2026-05-17T23:43:48.188562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af47a10daefd139c2fe6eede2e335fbc96119daed0526678147b126b6c4201ae

Aliases

arxiv: 1906.03534 · arxiv_version: 1906.03534v1 · doi: 10.48550/arxiv.1906.03534 · pith_short_12: V5D2CDNO7UJZ · pith_short_16: V5D2CDNO7UJZYL7G · pith_short_8: V5D2CDNO

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/V5D2CDNO7UJZYL7G53PC4M27XS \
  | 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: af47a10daefd139c2fe6eede2e335fbc96119daed0526678147b126b6c4201ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d02c789e465b147c74f94666045b2e391be37f6e3ba7c90dab3749867aa696c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-08T22:18:28Z",
    "title_canon_sha256": "ecb75302a8b47060aad4d7dab3a3ce45a333314b24ab9f011d6fccbc2f54a22b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03534",
    "kind": "arxiv",
    "version": 1
  }
}