Pith Number

pith:WGG4CSMM

pith:2016:WGG4CSMM7U3YTBDPH7S3HE2EJB

not attested not anchored not stored refs pending

Some numerical computations on Reidemeister torsion for homology 3-spheres obtained by Dehn surgeries along the figure-eight knot

Teruaki Kitano

arxiv:1603.03728 v2 · 2016-03-11 · 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{WGG4CSMM7U3YTBDPH7S3HE2EJB}

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	2026-05-18T00:25:05.983697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b18dc1498cfd3789846f3fe5b393444844787740c80dc8edddb6c0733743cff9

Aliases

arxiv: 1603.03728 · arxiv_version: 1603.03728v2 · doi: 10.48550/arxiv.1603.03728 · pith_short_12: WGG4CSMM7U3Y · pith_short_16: WGG4CSMM7U3YTBDP · pith_short_8: WGG4CSMM

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/WGG4CSMM7U3YTBDPH7S3HE2EJB \
  | 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: b18dc1498cfd3789846f3fe5b393444844787740c80dc8edddb6c0733743cff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "569b1c7134c119e245e2dcee51222bc53a8c4b42c2ee27a80df2546a2f19dfad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-11T19:16:35Z",
    "title_canon_sha256": "83d1616d603b151e1eb257e1bd8ee661036bf4fedce44326649ee33d2a75c4c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03728",
    "kind": "arxiv",
    "version": 2
  }
}