Pith Number

pith:LSOMO6H2

pith:2012:LSOMO6H2DKJU5JL64DGFKVYB7Q

not attested not anchored not stored refs pending

Khovanov homology for virtual tangles and applications

Daniel Tubbenhauer

arxiv:1212.0185 v1 · 2012-12-02 · 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{LSOMO6H2DKJU5JL64DGFKVYB7Q}

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	2026-05-18T01:21:38.382179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c9cc778fa1a934ea57ee0cc555701fc34ef073c4f83a9ec7079bc3ffe9c9944

Aliases

arxiv: 1212.0185 · arxiv_version: 1212.0185v1 · doi: 10.48550/arxiv.1212.0185 · pith_short_12: LSOMO6H2DKJU · pith_short_16: LSOMO6H2DKJU5JL6 · pith_short_8: LSOMO6H2

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/LSOMO6H2DKJU5JL64DGFKVYB7Q \
  | 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: 5c9cc778fa1a934ea57ee0cc555701fc34ef073c4f83a9ec7079bc3ffe9c9944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5e28e732556d1acac75efbf4c16e0d809b2f8e06ade538f91d63c9d3736393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-02T04:52:30Z",
    "title_canon_sha256": "76232c10f13ef10e0a7b784a226140962cea0851ea83982ee97fd73a502351a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0185",
    "kind": "arxiv",
    "version": 1
  }
}