Pith Number

pith:X3IJ4OTY

pith:2004:X3IJ4OTYDGXCYTTGPSYO4WAIQ2

not attested not anchored not stored refs pending

Torsion of the Khovanov homology

Alexander N. Shumakovitch

arxiv:math/0405474 v2 · 2004-05-25 · 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{X3IJ4OTYDGXCYTTGPSYO4WAIQ2}

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	2026-05-18T00:12:51.126679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed09e3a7819ae2c4e667cb0ee58088698e2fbe26b8e3425f4a4711a42b26f89

Aliases

arxiv: math/0405474 · arxiv_version: math/0405474v2 · doi: 10.48550/arxiv.math/0405474 · pith_short_12: X3IJ4OTYDGXC · pith_short_16: X3IJ4OTYDGXCYTTG · pith_short_8: X3IJ4OTY

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/X3IJ4OTYDGXCYTTGPSYO4WAIQ2 \
  | 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: bed09e3a7819ae2c4e667cb0ee58088698e2fbe26b8e3425f4a4711a42b26f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a4886ee412e96f939bb7ded6f5c1018df1d55b6dd9525b39d7d8338c6f0c5cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2004-05-25T18:23:36Z",
    "title_canon_sha256": "4ad8b8f30ffc3a6d021140eda579e2ea57c77dce12be8326f0fbe7ab58d6d532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405474",
    "kind": "arxiv",
    "version": 2
  }
}