Pith Number

pith:XOVSGHNN

pith:2014:XOVSGHNNPGOR2VBBUDGP4E3WMT

not attested not anchored not stored refs pending

Mirror links have dual odd and generalized Khovanov homology

Krzysztof K. Putyra, Wojciech Lubawski

arxiv:1407.5987 v1 · 2014-07-22 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOVSGHNNPGOR2VBBUDGP4E3WMT}

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	2026-05-18T01:04:14.878792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbab231dad799d1d5421a0ccfe137664f34c5a85915bc4e8e65dc42a249af72e

Aliases

arxiv: 1407.5987 · arxiv_version: 1407.5987v1 · doi: 10.48550/arxiv.1407.5987 · pith_short_12: XOVSGHNNPGOR · pith_short_16: XOVSGHNNPGOR2VBB · pith_short_8: XOVSGHNN

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/XOVSGHNNPGOR2VBBUDGP4E3WMT \
  | 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: bbab231dad799d1d5421a0ccfe137664f34c5a85915bc4e8e65dc42a249af72e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd8857a078a2004eb1fc9fc2b76bd92c87579544901c5e5120f5871f32b6772",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-22T19:49:55Z",
    "title_canon_sha256": "70893453feaf2e6a22cad0a7a1c8d076ee57ca7050e697d8115c723705dab3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5987",
    "kind": "arxiv",
    "version": 1
  }
}