Pith Number

pith:QLBUVVC6

pith:2011:QLBUVVC6EDDCVEZSS4I4KBUBBK

not attested not anchored not stored refs pending

An extension of Greenberg's theorem to general valuation rings

Laurent Moret-Bailly

arxiv:1106.0984 v3 · 2011-06-06 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLBUVVC6EDDCVEZSS4I4KBUBBK}

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	2026-05-18T04:06:33.140223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c34ad45e20c62a93329711c506810aa789f4d82f0dc31c4ed3014c2254de97

Aliases

arxiv: 1106.0984 · arxiv_version: 1106.0984v3 · doi: 10.48550/arxiv.1106.0984 · pith_short_12: QLBUVVC6EDDC · pith_short_16: QLBUVVC6EDDCVEZS · pith_short_8: QLBUVVC6

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/QLBUVVC6EDDCVEZSS4I4KBUBBK \
  | 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: 82c34ad45e20c62a93329711c506810aa789f4d82f0dc31c4ed3014c2254de97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abfd2c12a7410251a3d4cce119d2a352b695ce0e28d51cf3fb5f6f5c937bf91b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-06T08:28:33Z",
    "title_canon_sha256": "18a5f0ca59ff07e284502de29c5d123752bf138cf7b1b3ccf0ab92c5f7e76516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0984",
    "kind": "arxiv",
    "version": 3
  }
}