Pith Number

pith:CH3KB56H

pith:2026:CH3KB56HR52JVTV3YTGUOHDQ64

not attested not anchored not stored refs pending

A proof of Powell's conjecture on the Goeritz group of $S^3$

Daiki Iguchi

arxiv:2605.21905 v1 · 2026-05-21 · 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{CH3KB56HR52JVTV3YTGUOHDQ64}

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	2026-05-22T01:04:13.826793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f6a0f7c78f749acebbc4cd471c70f73e3cbf46fed4966eb8c294752f4ffea6

Aliases

arxiv: 2605.21905 · arxiv_version: 2605.21905v1 · doi: 10.48550/arxiv.2605.21905 · pith_short_12: CH3KB56HR52J · pith_short_16: CH3KB56HR52JVTV3 · pith_short_8: CH3KB56H

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/CH3KB56HR52JVTV3YTGUOHDQ64 \
  | 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: 11f6a0f7c78f749acebbc4cd471c70f73e3cbf46fed4966eb8c294752f4ffea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1d9c3536ed56d5c949a477c064b61c7bdabf7484c7620717dfd8804a21b1f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-21T02:26:12Z",
    "title_canon_sha256": "5aa72dfa0af4a74a2c00864b04f4033c282282dbb7c0842f7ec578e81c56cba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21905",
    "kind": "arxiv",
    "version": 1
  }
}