Pith Number

pith:KW3D46SU

pith:2011:KW3D46SUQIGBGTUH4VNYJF5FDB

not attested not anchored not stored refs pending

Some remarks on the affineness of A^1-bundles

Holger Brenner

arxiv:1111.1594 v1 · 2011-11-07 · 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{KW3D46SUQIGBGTUH4VNYJF5FDB}

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	2026-05-18T04:09:25.749022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b63e7a54820c134e87e55b8497a5186eb6c886fd193c7e5734f4b827fa91ba

Aliases

arxiv: 1111.1594 · arxiv_version: 1111.1594v1 · doi: 10.48550/arxiv.1111.1594 · pith_short_12: KW3D46SUQIGB · pith_short_16: KW3D46SUQIGBGTUH · pith_short_8: KW3D46SU

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/KW3D46SUQIGBGTUH4VNYJF5FDB \
  | 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: 55b63e7a54820c134e87e55b8497a5186eb6c886fd193c7e5734f4b827fa91ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70bbb9293a788878d42c3d05706c3ba3d8a0683669f14279457974a8b8d9cabd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-07T14:31:12Z",
    "title_canon_sha256": "9642d8c67d058f003699a953c50f1274566e25f5c99923a0e163dfaed6044daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1594",
    "kind": "arxiv",
    "version": 1
  }
}