Pith Number

pith:RYNH3OJP

pith:2012:RYNH3OJP56AXXWPJ4LLMNODEMH

not attested not anchored not stored refs pending

Annulus twist and diffeomorphic 4-manifolds

In Dae Jong, Masanori Takeuchi, Tetsuya Abe, Yuka Omae

arxiv:1209.0361 v2 · 2012-09-03 · 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{RYNH3OJP56AXXWPJ4LLMNODEMH}

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	2026-05-18T03:35:53.940927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1a7db92fef817bd9e9e2d6c6b86461e9b74312c93d84f61d14db741c199af1

Aliases

arxiv: 1209.0361 · arxiv_version: 1209.0361v2 · doi: 10.48550/arxiv.1209.0361 · pith_short_12: RYNH3OJP56AX · pith_short_16: RYNH3OJP56AXXWPJ · pith_short_8: RYNH3OJP

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/RYNH3OJP56AXXWPJ4LLMNODEMH \
  | 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: 8e1a7db92fef817bd9e9e2d6c6b86461e9b74312c93d84f61d14db741c199af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01eb6c0e56fa3e5e9fe37fd8000f8ec2ffb581b5d5335a517b4f29a32028b00c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-03T14:05:14Z",
    "title_canon_sha256": "06b689fcfbf8406d165b121d1fd926f904c4a7699e9fdb33d9f3663b4cb1f553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0361",
    "kind": "arxiv",
    "version": 2
  }
}