Pith Number

pith:Q3BKH7KT

pith:2015:Q3BKH7KTI3NWHYHM6LQQGADNJ3

not attested not anchored not stored refs pending

Corks, exotic 4-manifolds and knot concordance

Kouichi Yasui

arxiv:1505.02551 v4 · 2015-05-11 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3BKH7KTI3NWHYHM6LQQGADNJ3}

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	2026-05-18T00:34:10.635814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c2a3fd5346db63e0ecf2e103006d4ec4cf7b76bbbef3ce6cf2ed7cfa7ce9e6

Aliases

arxiv: 1505.02551 · arxiv_version: 1505.02551v4 · doi: 10.48550/arxiv.1505.02551 · pith_short_12: Q3BKH7KTI3NW · pith_short_16: Q3BKH7KTI3NWHYHM · pith_short_8: Q3BKH7KT

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/Q3BKH7KTI3NWHYHM6LQQGADNJ3 \
  | 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: 86c2a3fd5346db63e0ecf2e103006d4ec4cf7b76bbbef3ce6cf2ed7cfa7ce9e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b487d46e8f459d95a846dfc669b9d8abfee6a088ea188787e320a6f7fca537",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-11T10:31:22Z",
    "title_canon_sha256": "f8f070526f980306c542df69de1388b5a83625b37dd0d4c3d096596c292950b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02551",
    "kind": "arxiv",
    "version": 4
  }
}