Pith Number

pith:43KYJWUJ

pith:2016:43KYJWUJYHVTCJRANFTJ4R753B

not attested not anchored not stored refs pending

Factorization of differential expansion for antiparallel double-braid knots

A.Morozov

arxiv:1606.06015 v8 · 2016-06-20 · hep-th · math-ph · math.GT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43KYJWUJYHVTCJRANFTJ4R753B}

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.

Cited by

1 paper in Pith

Bipartite expansion beyond biparticity

Receipt and verification

First computed	2026-05-18T00:32:21.329582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d584da89c1eb31262069669e47fdd87f77487e680267cb5c12aa9a483934b9

Aliases

arxiv: 1606.06015 · arxiv_version: 1606.06015v8 · doi: 10.48550/arxiv.1606.06015 · pith_short_12: 43KYJWUJYHVT · pith_short_16: 43KYJWUJYHVTCJRA · pith_short_8: 43KYJWUJ

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/43KYJWUJYHVTCJRANFTJ4R753B \
  | 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: e6d584da89c1eb31262069669e47fdd87f77487e680267cb5c12aa9a483934b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952bed05656103c8581384c2e9ab7c28ce915824b27c2c80c78a96c5d95b693e",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-06-20T08:46:54Z",
    "title_canon_sha256": "6d62aa2f52e7167ab270ef7b8af7d7a06847a18ecffb2714e19879685af88fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06015",
    "kind": "arxiv",
    "version": 8
  }
}