Pith Number

pith:T4BBJUPW

pith:2022:T4BBJUPWOEJHAQZXZHNSVLQQUM

not attested not anchored not stored refs pending

One stabilization is not enough for contractible 4-manifolds

Sungkyung Kang

arxiv:2210.07510 v3 · 2022-10-14 · 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{T4BBJUPWOEJHAQZXZHNSVLQQUM}

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.

Cited by

2 papers in Pith

Exotic disks and singular instanton Floer homology

Real bordered Floer homology

Receipt and verification

First computed	2026-07-05T09:08:09.082906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0214d1f67112704337c9db2aae10a303ffb0bc22049bdb4f2b00e1f12ba6eb

Aliases

arxiv: 2210.07510 · arxiv_version: 2210.07510v3 · doi: 10.48550/arxiv.2210.07510 · pith_short_12: T4BBJUPWOEJH · pith_short_16: T4BBJUPWOEJHAQZX · pith_short_8: T4BBJUPW

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/T4BBJUPWOEJHAQZXZHNSVLQQUM \
  | 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: 9f0214d1f67112704337c9db2aae10a303ffb0bc22049bdb4f2b00e1f12ba6eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca7fce052bebe0aac7e3a83fa68c635f0cfd4aac0049014c6a61579c6cbccc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-10-14T04:33:11Z",
    "title_canon_sha256": "7bd3902e839f9484b87551cd33a053870526a27e3e81f6669ec5e32d22c0ca94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.07510",
    "kind": "arxiv",
    "version": 3
  }
}