Pith Number

pith:E6FGP4WZ

pith:2017:E6FGP4WZB3QGYH2PIQOOJZI5ZD

not attested not anchored not stored refs pending

Brieskorn spheres bounding rational balls

Kyle Larson, Selman Akbulut

arxiv:1704.07739 v1 · 2017-04-25 · 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{E6FGP4WZB3QGYH2PIQOOJZI5ZD}

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	2026-05-17T23:53:01.527666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

278a67f2d90ee06c1f4f441ce4e51dc8f334e4dc7c0d17155f1d33b754d7e492

Aliases

arxiv: 1704.07739 · arxiv_version: 1704.07739v1 · doi: 10.48550/arxiv.1704.07739 · pith_short_12: E6FGP4WZB3QG · pith_short_16: E6FGP4WZB3QGYH2P · pith_short_8: E6FGP4WZ

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/E6FGP4WZB3QGYH2PIQOOJZI5ZD \
  | 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: 278a67f2d90ee06c1f4f441ce4e51dc8f334e4dc7c0d17155f1d33b754d7e492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6755ce60b0178f20919bccf225dfb7401b2242640a9593d90588ff61d3d07ab5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-04-25T15:32:26Z",
    "title_canon_sha256": "c92926ce42d44c7ae9197625f3db6f3507fa213bc11e73269d54dbcb151b418f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07739",
    "kind": "arxiv",
    "version": 1
  }
}