Pith Number

pith:MNOKH7KQ

pith:2013:MNOKH7KQW776AMY3NACCSDTRLO

not attested not anchored not stored refs pending

On Galois equivariance of homomorphisms between torsion potentially crystalline representations

Yoshiyasu Ozeki

arxiv:1304.2095 v3 · 2013-04-08 · 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{MNOKH7KQW776AMY3NACCSDTRLO}

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	2026-05-18T02:55:39.234514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635ca3fd50b7ffe0331b6804290e715badbd45553d0d116a1ab03063b3040db5

Aliases

arxiv: 1304.2095 · arxiv_version: 1304.2095v3 · doi: 10.48550/arxiv.1304.2095 · pith_short_12: MNOKH7KQW776 · pith_short_16: MNOKH7KQW776AMY3 · pith_short_8: MNOKH7KQ

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/MNOKH7KQW776AMY3NACCSDTRLO \
  | 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: 635ca3fd50b7ffe0331b6804290e715badbd45553d0d116a1ab03063b3040db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7e4ad90be36cb51ad9267093bf4f9e379bcd0f7a62a201d3ab13f5817671b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-08T03:52:28Z",
    "title_canon_sha256": "902870f9fc2f785498554cdd4fa3bbf6806a93a872fee19c29b8146df9bea360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2095",
    "kind": "arxiv",
    "version": 3
  }
}