Pith Number

pith:F65THD7I

pith:2016:F65THD7IY2PGZAXHJX2O7UOSZO

not attested not anchored not stored refs pending

Knot invariants arising from homological operations on Khovanov homology

Alexander N. Shumakovitch, Krzysztof K. Putyra

arxiv:1601.00798 v1 · 2016-01-05 · math.AT · 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{F65THD7IY2PGZAXHJX2O7UOSZO}

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	2026-05-18T01:23:21.745595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fbb338fe8c69e6c82e74df4efd1d2cbac3e9e29caa799d11bc6bff6dcf32dc2

Aliases

arxiv: 1601.00798 · arxiv_version: 1601.00798v1 · doi: 10.48550/arxiv.1601.00798 · pith_short_12: F65THD7IY2PG · pith_short_16: F65THD7IY2PGZAXH · pith_short_8: F65THD7I

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/F65THD7IY2PGZAXHJX2O7UOSZO \
  | 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: 2fbb338fe8c69e6c82e74df4efd1d2cbac3e9e29caa799d11bc6bff6dcf32dc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e79acc964a2bf48edc1167e3f2367a0fe1dbbca6710907e67e11268afbf6dd2b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-01-05T11:32:30Z",
    "title_canon_sha256": "254f3cc7ac3db4b7969d879bd0b5de3105b482e339e182c0c93dd2243978ac00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00798",
    "kind": "arxiv",
    "version": 1
  }
}