Pith Number

pith:O4U7EB4O

pith:2012:O4U7EB4O2P7USICQIFG7YNDX4H

not attested not anchored not stored refs pending

Odd Khovanov Homology for Hyperplane Arrangements

Anthony Licata, Zsuzsanna Dancso

arxiv:1205.2784 v5 · 2012-05-12 · math.RT · 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{O4U7EB4O2P7USICQIFG7YNDX4H}

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	2026-05-18T02:39:17.383047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7729f2078ed3ff492050414dfc3477e1fe4b0809f83daabb7effc1b65f369fb2

Aliases

arxiv: 1205.2784 · arxiv_version: 1205.2784v5 · doi: 10.48550/arxiv.1205.2784 · pith_short_12: O4U7EB4O2P7U · pith_short_16: O4U7EB4O2P7USICQ · pith_short_8: O4U7EB4O

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/O4U7EB4O2P7USICQIFG7YNDX4H \
  | 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: 7729f2078ed3ff492050414dfc3477e1fe4b0809f83daabb7effc1b65f369fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c867a09c9768ac8558371d04c40155ad1aaa51aa09ce280bf4b69883f8216226",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-12T13:53:08Z",
    "title_canon_sha256": "5f89689594015dd92d27f214eeff925f9faed9c1956487a2c7dd194ed4128b24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2784",
    "kind": "arxiv",
    "version": 5
  }
}