Pith Number

pith:DZPXUPET

pith:2011:DZPXUPETO6TYFR5SVHONYXPMO7

not attested not anchored not stored refs pending

Linear bounds for levels of stable rationality

Christian B\"ohning, Fedor Bogomolov, Hans-Christian Graf von Bothmer

arxiv:1102.4973 v1 · 2011-02-24 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZPXUPETO6TYFR5SVHONYXPMO7}

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	2026-05-18T04:27:57.646881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e5f7a3c9377a782c7b2a9dcdc5dec77ce969c2a501757e2570e61444cf91cc5

Aliases

arxiv: 1102.4973 · arxiv_version: 1102.4973v1 · doi: 10.48550/arxiv.1102.4973 · pith_short_12: DZPXUPETO6TY · pith_short_16: DZPXUPETO6TYFR5S · pith_short_8: DZPXUPET

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/DZPXUPETO6TYFR5SVHONYXPMO7 \
  | 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: 1e5f7a3c9377a782c7b2a9dcdc5dec77ce969c2a501757e2570e61444cf91cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dcbd20e4814bc1c5eebe66e36e30df652e66626f41b4930430a14b2b088ca3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-24T12:33:02Z",
    "title_canon_sha256": "b9a0c660de7e2cbafcda3259d83cb08b923cc3a0378666737c7e4113a59fbcdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4973",
    "kind": "arxiv",
    "version": 1
  }
}