Pith Number

pith:GKYNCJ73

pith:2017:GKYNCJ73D2N7QTERA2RK4QSOO2

not attested not anchored not stored refs pending

Concordance invariants of doubled knots and blowing up

Kwan Yong Lee, Se-Goo Kim

arxiv:1712.03486 v2 · 2017-12-10 · 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{GKYNCJ73D2N7QTERA2RK4QSOO2}

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	2026-05-18T00:11:00.152103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b0d127fb1e9bf84c9106a2ae424e76b23b57a2217d069f1edafc952ec6ace9

Aliases

arxiv: 1712.03486 · arxiv_version: 1712.03486v2 · doi: 10.48550/arxiv.1712.03486 · pith_short_12: GKYNCJ73D2N7 · pith_short_16: GKYNCJ73D2N7QTER · pith_short_8: GKYNCJ73

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/GKYNCJ73D2N7QTERA2RK4QSOO2 \
  | 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: 32b0d127fb1e9bf84c9106a2ae424e76b23b57a2217d069f1edafc952ec6ace9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0bd0486dff109955fbbde9534ebf5fce527b2e2c54009e2dc5392ad191a093d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-10T08:26:59Z",
    "title_canon_sha256": "6ec358b04f47a9b19296b9db6dbb466adf015aa679b3f55df39a14de6db14f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03486",
    "kind": "arxiv",
    "version": 2
  }
}