Pith Number

pith:JIOFTU6I

pith:2013:JIOFTU6I5F7Z6Z42IS7YERZUIH

not attested not anchored not stored refs pending

On congruences of Galois representations of number fields

Yoshiyasu Ozeki, Yuichiro Taguchi

arxiv:1306.0321 v1 · 2013-06-03 · 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{JIOFTU6I5F7Z6Z42IS7YERZUIH}

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	2026-05-18T03:21:55.516185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1c59d3c8e97f9f679a44bf82473441f589c2d3cbc5bb2d62c1ce317a18ef7c

Aliases

arxiv: 1306.0321 · arxiv_version: 1306.0321v1 · doi: 10.48550/arxiv.1306.0321 · pith_short_12: JIOFTU6I5F7Z · pith_short_16: JIOFTU6I5F7Z6Z42 · pith_short_8: JIOFTU6I

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/JIOFTU6I5F7Z6Z42IS7YERZUIH \
  | 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: 4a1c59d3c8e97f9f679a44bf82473441f589c2d3cbc5bb2d62c1ce317a18ef7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fcf8703d80799ef6b130632ad2933a50801a0b1901f4968864f6d303123a40c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-03T08:35:14Z",
    "title_canon_sha256": "abea87dc6e6f62817105d7f39fb99811ea3928b14a384df29065c7d5ad238a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0321",
    "kind": "arxiv",
    "version": 1
  }
}