Pith Number

pith:MMOXTACL

pith:2014:MMOXTACLUURLGP555ZBBRQQOTI

not attested not anchored not stored refs pending

Potential automorphy and the Leopoldt conjecture

Chandrashekhar Khare, Jack A. Thorne

arxiv:1409.7007 v2 · 2014-09-24 · 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{MMOXTACLUURLGP555ZBBRQQOTI}

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	2026-05-18T01:11:27.602763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631d79804ba522b33fbdee4218c20e9a314322657c75815aa3f91c475e5e479c

Aliases

arxiv: 1409.7007 · arxiv_version: 1409.7007v2 · doi: 10.48550/arxiv.1409.7007 · pith_short_12: MMOXTACLUURL · pith_short_16: MMOXTACLUURLGP55 · pith_short_8: MMOXTACL

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/MMOXTACLUURLGP555ZBBRQQOTI \
  | 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: 631d79804ba522b33fbdee4218c20e9a314322657c75815aa3f91c475e5e479c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b69fa9bd49bfff9fb3cf454a07e700b80fcafbcd1dfad0b714086a1e4d39ecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-24T16:10:20Z",
    "title_canon_sha256": "5bc1762c54ad320c742588e4f91a7382374c6c756c2479363336a987359ffdce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7007",
    "kind": "arxiv",
    "version": 2
  }
}