Pith Number

pith:FODLBQIQ

pith:2019:FODLBQIQ5A4ONVJVDRDJDILOKG

not attested not anchored not stored refs pending

On odd torsion in even Khovanov homology

Sujoy Mukherjee

arxiv:1906.06278 v1 · 2019-06-14 · 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{FODLBQIQ5A4ONVJVDRDJDILOKG}

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	2026-05-17T23:43:19.142379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b86b0c110e838e6d5351c4691a16e51ab143dcfd50b8ff64749dce2db75dadb

Aliases

arxiv: 1906.06278 · arxiv_version: 1906.06278v1 · doi: 10.48550/arxiv.1906.06278 · pith_short_12: FODLBQIQ5A4O · pith_short_16: FODLBQIQ5A4ONVJV · pith_short_8: FODLBQIQ

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/FODLBQIQ5A4ONVJVDRDJDILOKG \
  | 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: 2b86b0c110e838e6d5351c4691a16e51ab143dcfd50b8ff64749dce2db75dadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851b61c0f28e23f5ad3ff83dcdf315ec71a7dc6d4e6d5bcb47a7aa7ae5c38333",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-14T16:34:46Z",
    "title_canon_sha256": "542446d0b8646ec6a9dfe1e24c169c7d75eca59d457f55b4dbd7eee492270875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06278",
    "kind": "arxiv",
    "version": 1
  }
}