Pith Number

pith:BUHSIRFX

pith:2011:BUHSIRFXUMWXUUWTPKEPLTVXCF

not attested not anchored not stored refs pending

Sobolev mappings, degree, homotopy classes and rational homology spheres

Pawel Goldstein, Piotr Hajlasz

arxiv:1109.4831 v1 · 2011-09-22 · math.FA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUHSIRFXUMWXUUWTPKEPLTVXCF}

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	2026-05-18T04:12:32.827530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d0f2444b7a32d7a52d37a88f5ceb7116639df4b5938fd1fefc5902b895c6f83

Aliases

arxiv: 1109.4831 · arxiv_version: 1109.4831v1 · doi: 10.48550/arxiv.1109.4831 · pith_short_12: BUHSIRFXUMWX · pith_short_16: BUHSIRFXUMWXUUWT · pith_short_8: BUHSIRFX

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/BUHSIRFXUMWXUUWTPKEPLTVXCF \
  | 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: 0d0f2444b7a32d7a52d37a88f5ceb7116639df4b5938fd1fefc5902b895c6f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb5628f37ad6965af95b1a8c031a2a58f576572da49a7655a43b66c374a3db5",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-22T14:45:49Z",
    "title_canon_sha256": "ad042986da7763d5f2d70637cb4457de1a7cf757c7b27c4b9df4e5e836874f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4831",
    "kind": "arxiv",
    "version": 1
  }
}