Pith Number

pith:LLAYLPXT

pith:2012:LLAYLPXT4FZNLLLK45RATHHQQ7

not attested not anchored not stored refs pending

Affine bundles are affine spaces over modules

Thomas Leuther

arxiv:1201.5812 v1 · 2012-01-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLAYLPXT4FZNLLLK45RATHHQQ7}

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	2026-05-18T04:03:44.450229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac185bef3e172d5ad6ae762099cf087ce538654596da73aa32c8bdda405fd98

Aliases

arxiv: 1201.5812 · arxiv_version: 1201.5812v1 · doi: 10.48550/arxiv.1201.5812 · pith_short_12: LLAYLPXT4FZN · pith_short_16: LLAYLPXT4FZNLLLK · pith_short_8: LLAYLPXT

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/LLAYLPXT4FZNLLLK45RATHHQQ7 \
  | 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: 5ac185bef3e172d5ad6ae762099cf087ce538654596da73aa32c8bdda405fd98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddad83b7b45211027d2b7ca19790839ddeb7e7e600d54b062d5c513e4c15f6fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-27T16:04:55Z",
    "title_canon_sha256": "b1c910016919752e039bff50b55ca6a170a384a0c2f9f02d7389cf1c8a14e23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5812",
    "kind": "arxiv",
    "version": 1
  }
}