Pith Number

pith:KNRZX3NU

pith:2015:KNRZX3NU4T2EDJMR7ADUU7VZES

not attested not anchored not stored refs pending

Weyl n-algebras and the Kontsevich integral of the unknot

Nikita Markarian

arxiv:1509.03415 v2 · 2015-09-11 · math.QA · 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{KNRZX3NU4T2EDJMR7ADUU7VZES}

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	2026-05-18T01:22:53.925832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53639bedb4e4f441a591f8074a7eb9249a1005757e315abbd2af1ae7168f6652

Aliases

arxiv: 1509.03415 · arxiv_version: 1509.03415v2 · doi: 10.48550/arxiv.1509.03415 · pith_short_12: KNRZX3NU4T2E · pith_short_16: KNRZX3NU4T2EDJMR · pith_short_8: KNRZX3NU

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/KNRZX3NU4T2EDJMR7ADUU7VZES \
  | 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: 53639bedb4e4f441a591f8074a7eb9249a1005757e315abbd2af1ae7168f6652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f65eae311504c8c493226d8560f2909b83bfbe7b1ff868f5fd436cfb83dacca",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-11T08:18:03Z",
    "title_canon_sha256": "f07d7ae958ffc717748677789de7e8c2734fee8426f3d396a2da9d9181dfd002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03415",
    "kind": "arxiv",
    "version": 2
  }
}