Pith Number

pith:DS7QPPKH

pith:2018:DS7QPPKHH4OUG5VYU25WIJBSFJ

not attested not anchored not stored refs pending

Homology spheres with $E_8$-fillings and arbitrarily large correction terms

Motoo Tange

arxiv:1811.11831 v1 · 2018-11-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DS7QPPKHH4OUG5VYU25WIJBSFJ}

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	2026-05-17T23:59:37.511829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cbf07bd473f1d4376b8a6bb6424322a6da38101e5492fb90dd7efa2f3e3953b

Aliases

arxiv: 1811.11831 · arxiv_version: 1811.11831v1 · doi: 10.48550/arxiv.1811.11831 · pith_short_12: DS7QPPKHH4OU · pith_short_16: DS7QPPKHH4OUG5VY · pith_short_8: DS7QPPKH

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/DS7QPPKHH4OUG5VYU25WIJBSFJ \
  | 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: 1cbf07bd473f1d4376b8a6bb6424322a6da38101e5492fb90dd7efa2f3e3953b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb2561c9910579bf480565bbea19ab72a63844cc8be3f628f722b1325d01f14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-28T20:59:31Z",
    "title_canon_sha256": "db4f0111200991e337e42538239f730a6c0382d6e0c4c35eb1c15e54cd7a797b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11831",
    "kind": "arxiv",
    "version": 1
  }
}