Pith Number

pith:KEEK6RCE

pith:2013:KEEK6RCEKP4EGCQVDYDU33WC64

not attested not anchored not stored refs pending

Smoothly slice boundary links whose derivative links have nonvanishing Milnor invariants

Hye Jin Jang, Mark Powell, Min Hoon Kim

arxiv:1308.6372 v2 · 2013-08-29 · 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{KEEK6RCEKP4EGCQVDYDU33WC64}

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	2026-05-18T01:37:30.077955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5108af444453f8430a151e074deec2f701404d589e1fdfdf9d20d32ba242fc46

Aliases

arxiv: 1308.6372 · arxiv_version: 1308.6372v2 · doi: 10.48550/arxiv.1308.6372 · pith_short_12: KEEK6RCEKP4E · pith_short_16: KEEK6RCEKP4EGCQV · pith_short_8: KEEK6RCE

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/KEEK6RCEKP4EGCQVDYDU33WC64 \
  | 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: 5108af444453f8430a151e074deec2f701404d589e1fdfdf9d20d32ba242fc46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78967fe1290c5c163db2c1dfbb6ca33ce349cab4aa5acbd6148b7dc881302a84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-29T06:09:06Z",
    "title_canon_sha256": "8b54381ead5c76148704773288abbde6e97cb5355400d11d2465e5bace5410d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6372",
    "kind": "arxiv",
    "version": 2
  }
}