Pith Number

pith:UNHYEYZO

pith:2011:UNHYEYZO4AAAK4J4A5OFAQ4YDW

not attested not anchored not stored refs pending

Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures

Abigail Thompson, Martin Scharlemann, Robert E. Gompf

arxiv:1103.1601 v1 · 2011-03-08 · 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{UNHYEYZO4AAAK4J4A5OFAQ4YDW}

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.

Cited by

1 paper in Pith

A Fast, Strong, Topologically Meaningful and Fun Knot Invariant

Receipt and verification

First computed	2026-05-18T04:27:15.526028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a34f82632ee00005713c075c5043981db6b39104e273d213429d008cc5ad2aa6

Aliases

arxiv: 1103.1601 · arxiv_version: 1103.1601v1 · doi: 10.48550/arxiv.1103.1601 · pith_short_12: UNHYEYZO4AAA · pith_short_16: UNHYEYZO4AAAK4J4 · pith_short_8: UNHYEYZO

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/UNHYEYZO4AAAK4J4A5OFAQ4YDW \
  | 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: a34f82632ee00005713c075c5043981db6b39104e273d213429d008cc5ad2aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276a9ffd0e0ba8ed3bccb5698ad5287e8af39fc287dc3ac1773239408d1df6f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-08T18:54:05Z",
    "title_canon_sha256": "58cd0601efb9de5917ce524d9f32a4d1c5591a60380b7825167d8be19a3a888c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1601",
    "kind": "arxiv",
    "version": 1
  }
}