Pith Number

pith:QWRR3ALP

pith:2013:QWRR3ALP27FQKEFMK2QB2AABZI

not attested not anchored not stored refs pending

Kauffman-Harary conjecture for alternating virtual knots

Zhiyun Cheng

arxiv:1310.4271 v1 · 2013-10-16 · 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{QWRR3ALP27FQKEFMK2QB2AABZI}

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	2026-05-18T01:33:57.157801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a31d816fd7cb0510ac56a01d0001ca19169b4f80c2443def1227206f1f852a

Aliases

arxiv: 1310.4271 · arxiv_version: 1310.4271v1 · doi: 10.48550/arxiv.1310.4271 · pith_short_12: QWRR3ALP27FQ · pith_short_16: QWRR3ALP27FQKEFM · pith_short_8: QWRR3ALP

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/QWRR3ALP27FQKEFMK2QB2AABZI \
  | 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: 85a31d816fd7cb0510ac56a01d0001ca19169b4f80c2443def1227206f1f852a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f8c6afd6efc76e5896c164c06796cb9d104c4355036bbf5ad83e9eac106e6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-16T05:15:54Z",
    "title_canon_sha256": "edca07834c61d9dec26a6f41d182cfeedc59f37400e2bf2ba4a419bf65e91759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4271",
    "kind": "arxiv",
    "version": 1
  }
}