Pith Number

pith:EPJPYFCV

pith:2012:EPJPYFCVDJF7YEBTA6TF5TZ2NC

not attested not anchored not stored refs pending

Full faithfulness theorem for torsion crystalline representations

Yoshiyasu Ozeki

arxiv:1206.4751 v4 · 2012-06-21 · 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{EPJPYFCVDJF7YEBTA6TF5TZ2NC}

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	2026-05-18T03:28:53.877953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d2fc14551a4bfc103307a65ecf3a688aac35065b522670e2177b11f51b8b24

Aliases

arxiv: 1206.4751 · arxiv_version: 1206.4751v4 · doi: 10.48550/arxiv.1206.4751 · pith_short_12: EPJPYFCVDJF7 · pith_short_16: EPJPYFCVDJF7YEBT · pith_short_8: EPJPYFCV

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/EPJPYFCVDJF7YEBTA6TF5TZ2NC \
  | 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: 23d2fc14551a4bfc103307a65ecf3a688aac35065b522670e2177b11f51b8b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab981e34c32cfd6b050a04d685f1b0683a4657e0b256b4bdb56fbdf1e2edb229",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-21T00:49:18Z",
    "title_canon_sha256": "738733af2255dfa51a83f05606b4b8526687317152b68982bcd96c9400dd9a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4751",
    "kind": "arxiv",
    "version": 4
  }
}