Pith Number

pith:4Z5XFS2E

pith:2011:4Z5XFS2EIM4QMERPABX75ZBQ5V

not attested not anchored not stored refs pending

Superpolynomials for toric knots from evolution induced by cut-and-join operators

A. Mironov, A. Morozov, A. Sleptsov, A. Smirnov, P. Dunin-Barkowski

arxiv:1106.4305 v4 · 2011-06-21 · hep-th · 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{4Z5XFS2EIM4QMERPABX75ZBQ5V}

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	2026-05-18T00:55:47.275817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67b72cb44433906122f006ffee430ed43878d880a29c145e74f21d54b5cbbca

Aliases

arxiv: 1106.4305 · arxiv_version: 1106.4305v4 · doi: 10.48550/arxiv.1106.4305 · pith_short_12: 4Z5XFS2EIM4Q · pith_short_16: 4Z5XFS2EIM4QMERP · pith_short_8: 4Z5XFS2E

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/4Z5XFS2EIM4QMERPABX75ZBQ5V \
  | 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: e67b72cb44433906122f006ffee430ed43878d880a29c145e74f21d54b5cbbca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3476cff761d67cce9f721bcc44b21d7e4a2212db5a3f6f5dd9d98a5c15bf7e95",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-21T19:55:57Z",
    "title_canon_sha256": "c448f1e82ad44afcbd5e1d559c9ac2e5db83af6bb3aeec77486e52f747587063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4305",
    "kind": "arxiv",
    "version": 4
  }
}