Pith Number

pith:PRLLIQC4

pith:2017:PRLLIQC4GO4PSDWF7N2ZRNSBRH

not attested not anchored not stored refs pending

Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms

Antonio Lei, Jeffrey Hatley

arxiv:1706.04531 v3 · 2017-06-14 · 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{PRLLIQC4GO4PSDWF7N2ZRNSBRH}

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	2026-05-18T00:11:58.223491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c56b4405c33b8f90ec5fb7598b64189ff06de6bb6051a3858c3c34afed29949

Aliases

arxiv: 1706.04531 · arxiv_version: 1706.04531v3 · doi: 10.48550/arxiv.1706.04531 · pith_short_12: PRLLIQC4GO4P · pith_short_16: PRLLIQC4GO4PSDWF · pith_short_8: PRLLIQC4

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/PRLLIQC4GO4PSDWF7N2ZRNSBRH \
  | 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: 7c56b4405c33b8f90ec5fb7598b64189ff06de6bb6051a3858c3c34afed29949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79390a621dc380707757229d26437aea52b1cc591a53ced046d3df114df54cf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-14T15:19:51Z",
    "title_canon_sha256": "4a9310f168a4d7d4e5b1debe46679608cea0083c8b2f8eea4bf8901ab386dc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04531",
    "kind": "arxiv",
    "version": 3
  }
}