Pith Number

pith:XKBA2K2G

pith:2013:XKBA2K2GN5DHEJBJQNN6JJYVKB

not attested not anchored not stored refs pending

Splittings of von Neumann rho-invariants of knots

Se-Goo Kim, Taehee Kim

arxiv:1304.3011 v1 · 2013-04-10 · 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{XKBA2K2GN5DHEJBJQNN6JJYVKB}

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	2026-05-18T00:44:29.885534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba820d2b466f46722429835be4a7155044985f1eb618b8358aa07fbacb27a092

Aliases

arxiv: 1304.3011 · arxiv_version: 1304.3011v1 · doi: 10.48550/arxiv.1304.3011 · pith_short_12: XKBA2K2GN5DH · pith_short_16: XKBA2K2GN5DHEJBJ · pith_short_8: XKBA2K2G

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/XKBA2K2GN5DHEJBJQNN6JJYVKB \
  | 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: ba820d2b466f46722429835be4a7155044985f1eb618b8358aa07fbacb27a092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e942e6a2dcf6f3fe68bd144d2cdf4c34e925901c554bfdda9a2f0f45aad6aa98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-10T16:05:41Z",
    "title_canon_sha256": "ad6396cc9be7a2225c4a421c65c525ccd4ef35222efeca3f3362b887ed31d2dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3011",
    "kind": "arxiv",
    "version": 1
  }
}