Pith Number

pith:OOIXT7ZA

pith:2020:OOIXT7ZAZWZU34ODT7JP5L73GR

not attested not anchored not stored refs pending

Exceptional surgeries on hyperbolic fibered knots

Yi Ni

arxiv:2007.11774 v2 · 2020-07-23 · 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{OOIXT7ZAZWZU34ODT7JP5L73GR}

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

The search for alternating surgeries

Receipt and verification

First computed	2026-07-05T03:55:24.650622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739179ff20cdb34df1c39fd2feaffb344c5d3bc2c4b601cd55ecb2ebe5c31ba7

Aliases

arxiv: 2007.11774 · arxiv_version: 2007.11774v2 · doi: 10.48550/arxiv.2007.11774 · pith_short_12: OOIXT7ZAZWZU · pith_short_16: OOIXT7ZAZWZU34OD · pith_short_8: OOIXT7ZA

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/OOIXT7ZAZWZU34ODT7JP5L73GR \
  | 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: 739179ff20cdb34df1c39fd2feaffb344c5d3bc2c4b601cd55ecb2ebe5c31ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a8e5a395d99be28f432eb927312263b87d75cee30086f08a359700fd1c777b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-07-23T03:46:12Z",
    "title_canon_sha256": "966da745272abc94563a991bae4910f22a482ebd0c727662d19010586a73773f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.11774",
    "kind": "arxiv",
    "version": 2
  }
}