Pith Number

pith:4YK5TLVI

pith:2019:4YK5TLVI4NYP3QH5YTCIBVERBY

not attested not anchored not stored refs pending

Topologically slice $(1,1)$-knots which are not smoothly slice

Zipei Nie

arxiv:1901.07774 v1 · 2019-01-23 · 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{4YK5TLVI4NYP3QH5YTCIBVERBY}

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	2026-05-17T23:55:39.744363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e615d9aea8e370fdc0fdc4c480d4910e3733d6312c449116a6f80e0e7897639d

Aliases

arxiv: 1901.07774 · arxiv_version: 1901.07774v1 · doi: 10.48550/arxiv.1901.07774 · pith_short_12: 4YK5TLVI4NYP · pith_short_16: 4YK5TLVI4NYP3QH5 · pith_short_8: 4YK5TLVI

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/4YK5TLVI4NYP3QH5YTCIBVERBY \
  | 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: e615d9aea8e370fdc0fdc4c480d4910e3733d6312c449116a6f80e0e7897639d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8414a3f85b23db6b24b15ceba232dd3f4161aee5b01a92bbf4504767129e3950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-23T08:46:51Z",
    "title_canon_sha256": "098c8d84c320af9f49883f5ae626c31b06d1b62c9844ff1c8193e39bf4b10a52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07774",
    "kind": "arxiv",
    "version": 1
  }
}