Pith Number

pith:DZXF7O4I

pith:2015:DZXF7O4IGOWBECKZSP2XU7MQWU

not attested not anchored not stored refs pending

Torsion Galois representations over CM fields and Hecke algebras in the derived category

Jack A. Thorne, James Newton

arxiv:1511.04913 v1 · 2015-11-16 · 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{DZXF7O4IGOWBECKZSP2XU7MQWU}

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	2026-05-18T01:26:51.319941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6e5fbb8833ac12095993f57a7d90b530a673cb9322ff51e00f2e69b5d02d70

Aliases

arxiv: 1511.04913 · arxiv_version: 1511.04913v1 · doi: 10.48550/arxiv.1511.04913 · pith_short_12: DZXF7O4IGOWB · pith_short_16: DZXF7O4IGOWBECKZ · pith_short_8: DZXF7O4I

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/DZXF7O4IGOWBECKZSP2XU7MQWU \
  | 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: 1e6e5fbb8833ac12095993f57a7d90b530a673cb9322ff51e00f2e69b5d02d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b2ca359830c9105618392aedae59566e76386d9826f10fd70cb7d1b40659238",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-16T11:07:40Z",
    "title_canon_sha256": "fee4d32c50e343f867963a24f47cbf30c6062bd8fadee4e1b4f1f71ee0729064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04913",
    "kind": "arxiv",
    "version": 1
  }
}