Pith Number

pith:PMWIWP5A

pith:2014:PMWIWP5APYVDZIDBRS6L5RM2QZ

not attested not anchored not stored refs pending

Regular-equivalence of $2$-knot diagrams and sphere eversions

Kokoro Tanaka, Masamichi Takase

arxiv:1406.3539 v1 · 2014-06-13 · 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{PMWIWP5APYVDZIDBRS6L5RM2QZ}

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	2026-05-18T00:18:56.242406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2c8b3fa07e2a3ca0618cbcbec59a8640ef352b5a98f4f5806793db6f8b943f

Aliases

arxiv: 1406.3539 · arxiv_version: 1406.3539v1 · doi: 10.48550/arxiv.1406.3539 · pith_short_12: PMWIWP5APYVD · pith_short_16: PMWIWP5APYVDZIDB · pith_short_8: PMWIWP5A

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/PMWIWP5APYVDZIDBRS6L5RM2QZ \
  | 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: 7b2c8b3fa07e2a3ca0618cbcbec59a8640ef352b5a98f4f5806793db6f8b943f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e56b14af2819a83874e2d99b9bec94f80b51be6b23623a1237ce70ac3dfad86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-13T14:02:48Z",
    "title_canon_sha256": "d2e3a633caf7607dff5de033558e0e209bdc8cc5f64cc838898809d486b7d020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3539",
    "kind": "arxiv",
    "version": 1
  }
}