Pith Number

pith:Q4XB6R5C

pith:2010:Q4XB6R5CMYAHSWHQALS7ZBAG6V

not attested not anchored not stored refs pending

Cyclic branched coverings of knots and quandle homology

Yuichi Kabaya

arxiv:1012.3729 v3 · 2010-12-16 · 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{Q4XB6R5CMYAHSWHQALS7ZBAG6V}

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	2026-05-18T03:57:25.361211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872e1f47a266007958f002e5fc8406f568016e65f4be866fc8cd1283693d37c8

Aliases

arxiv: 1012.3729 · arxiv_version: 1012.3729v3 · doi: 10.48550/arxiv.1012.3729 · pith_short_12: Q4XB6R5CMYAH · pith_short_16: Q4XB6R5CMYAHSWHQ · pith_short_8: Q4XB6R5C

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/Q4XB6R5CMYAHSWHQALS7ZBAG6V \
  | 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: 872e1f47a266007958f002e5fc8406f568016e65f4be866fc8cd1283693d37c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c5f672e9719636733cfa466d5c6eb54741b7fb3e6eef4ed6f89be30de59aff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-16T19:43:42Z",
    "title_canon_sha256": "17e81894c3275870b37ac4f0f01939641d94b038ff2e5497d4f1d10c6e0f4695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3729",
    "kind": "arxiv",
    "version": 3
  }
}