Pith Number

pith:JYE5FX56

pith:2011:JYE5FX563XLCQK67DC5TCWUBB4

not attested not anchored not stored refs pending

Jones polynomials of torus knots via DAHA

Ivan Cherednik

arxiv:1111.6195 v10 · 2011-11-26 · math.QA · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYE5FX563XLCQK67DC5TCWUBB4}

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	2026-05-18T03:49:22.047350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e09d2dfbeddd6282bdf18bb315a810f3679807205fa44b6d4f5fef05125c726

Aliases

arxiv: 1111.6195 · arxiv_version: 1111.6195v10 · doi: 10.48550/arxiv.1111.6195 · pith_short_12: JYE5FX563XLC · pith_short_16: JYE5FX563XLCQK67 · pith_short_8: JYE5FX56

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/JYE5FX563XLCQK67DC5TCWUBB4 \
  | 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: 4e09d2dfbeddd6282bdf18bb315a810f3679807205fa44b6d4f5fef05125c726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c997fdd3eee6a7471b7170400815dafd5289ca4d42f2c870fc63f67c18da018",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-11-26T21:36:03Z",
    "title_canon_sha256": "7e7ba53e9210ad3a78c6538768ab0ff162efe0ea166eeae44980da1383ba7763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6195",
    "kind": "arxiv",
    "version": 10
  }
}