Pith Number

pith:VVIGMSWX

pith:2010:VVIGMSWXOS63TFUXD44U4MEIIK

not attested not anchored not stored refs pending

Extensions of truncated discrete valuation rings II

Toshiro Hiranouchi, Yuichiro Taguchi

arxiv:1002.4694 v3 · 2010-02-25 · 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{VVIGMSWXOS63TFUXD44U4MEIIK}

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	2026-05-18T03:38:12.823051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad50664ad774bdb996971f394e308842bbdc8b31781cd1dae52402f3f3a3a1a4

Aliases

arxiv: 1002.4694 · arxiv_version: 1002.4694v3 · doi: 10.48550/arxiv.1002.4694 · pith_short_12: VVIGMSWXOS63 · pith_short_16: VVIGMSWXOS63TFUX · pith_short_8: VVIGMSWX

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/VVIGMSWXOS63TFUXD44U4MEIIK \
  | 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: ad50664ad774bdb996971f394e308842bbdc8b31781cd1dae52402f3f3a3a1a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b658b2b7840ed16b907af14a01994a3573873f75659bb8cd2a245612183f8fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-25T05:33:48Z",
    "title_canon_sha256": "5619d83e5fa1096f4bdd31a1ba8ac6e68022cff0e3ae98f420d5318aac379d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4694",
    "kind": "arxiv",
    "version": 3
  }
}