Pith Number

pith:JCIEEAUD

pith:2015:JCIEEAUDMSYT5VXYJXPPYAZFEO

not attested not anchored not stored refs pending

Fintushel--Stern knot surgery in torus bundles

Yi Ni

arxiv:1510.07715 v2 · 2015-10-26 · math.GT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCIEEAUDMSYT5VXYJXPPYAZFEO}

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	2026-05-18T00:44:25.100988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489042028364b13ed6f84ddefc0325239685a5622f6a5cb6d19e80b81ec3be92

Aliases

arxiv: 1510.07715 · arxiv_version: 1510.07715v2 · doi: 10.48550/arxiv.1510.07715 · pith_short_12: JCIEEAUDMSYT · pith_short_16: JCIEEAUDMSYT5VXY · pith_short_8: JCIEEAUD

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/JCIEEAUDMSYT5VXYJXPPYAZFEO \
  | 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: 489042028364b13ed6f84ddefc0325239685a5622f6a5cb6d19e80b81ec3be92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f7e00f6d018670784548c5b8c64c79c07cddf5d3f3a0b5419cc1fad4a5cca08",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-26T23:02:03Z",
    "title_canon_sha256": "a540bf9c58343d586255116ca40313900c7acb7d137bf458304b8b00c7c4b443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07715",
    "kind": "arxiv",
    "version": 2
  }
}