Pith Number

pith:WGJ3P27P

pith:2015:WGJ3P27PRIJFOSDBORSEXIVE2M

not attested not anchored not stored refs pending

A polynomial defined by the SL(2;C)-Reidemeister torsion for a homology 3-sphere obtained by a Dehn surgery along a (2p,q)-torus knot

Teruaki Kitano

arxiv:1506.01774 v2 · 2015-06-05 · 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{WGJ3P27PRIJFOSDBORSEXIVE2M}

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	2026-05-18T01:32:00.391111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b193b7ebef8a1257486174644ba2a4d3040e368cf33a0eeb1f327af0712deac5

Aliases

arxiv: 1506.01774 · arxiv_version: 1506.01774v2 · doi: 10.48550/arxiv.1506.01774 · pith_short_12: WGJ3P27PRIJF · pith_short_16: WGJ3P27PRIJFOSDB · pith_short_8: WGJ3P27P

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/WGJ3P27PRIJFOSDBORSEXIVE2M \
  | 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: b193b7ebef8a1257486174644ba2a4d3040e368cf33a0eeb1f327af0712deac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b422fe2ca1f3a4dcd7aa8bf2326ea772726e117bcc6e616ec5883237469ea073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-05T04:32:04Z",
    "title_canon_sha256": "1d1c40b4c6d97efae91113fe1505657dec7e9b0342ef1791881ce92f15aea5f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01774",
    "kind": "arxiv",
    "version": 2
  }
}