Pith Number

pith:FHA5IMRQ

pith:2018:FHA5IMRQ3REV2AWRMKQ6RNPDYT

not attested not anchored not stored refs pending

Left-orderablity for surgeries on $(-2,3,2s+1)$-pretzel knots

Zipei Nie

arxiv:1803.00076 v1 · 2018-02-28 · 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{FHA5IMRQ3REV2AWRMKQ6RNPDYT}

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	2026-05-18T00:22:13.429535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c1d43230dc495d02d162a1e8b5e3c4ed584a293e2fc2048efdc00cecc8e9a4

Aliases

arxiv: 1803.00076 · arxiv_version: 1803.00076v1 · doi: 10.48550/arxiv.1803.00076 · pith_short_12: FHA5IMRQ3REV · pith_short_16: FHA5IMRQ3REV2AWR · pith_short_8: FHA5IMRQ

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/FHA5IMRQ3REV2AWRMKQ6RNPDYT \
  | 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: 29c1d43230dc495d02d162a1e8b5e3c4ed584a293e2fc2048efdc00cecc8e9a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe6d127b6118cba30993656060b6ceb538c7e1fe916e42a694abb63825becba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-28T20:46:10Z",
    "title_canon_sha256": "531bd46388ed4b8f68a7acc7ce896a6c3c316b1d2279f51531d490b59bc94cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00076",
    "kind": "arxiv",
    "version": 1
  }
}