Pith Number

pith:DXWJJFXU

pith:2010:DXWJJFXUP5DOM3TFMG5TUDRT4L

not attested not anchored not stored refs pending

Categorifications from planar diagrammatics

Mikhail Khovanov

arxiv:1008.5084 v1 · 2010-08-30 · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXWJJFXUP5DOM3TFMG5TUDRT4L}

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	2026-05-18T04:41:37.156332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dec9496f47f46e66e6561bb3a0e33e2edfb4dce02b0332487668a985458933f

Aliases

arxiv: 1008.5084 · arxiv_version: 1008.5084v1 · doi: 10.48550/arxiv.1008.5084 · pith_short_12: DXWJJFXUP5DO · pith_short_16: DXWJJFXUP5DOM3TF · pith_short_8: DXWJJFXU

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/DXWJJFXUP5DOM3TFMG5TUDRT4L \
  | 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: 1dec9496f47f46e66e6561bb3a0e33e2edfb4dce02b0332487668a985458933f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceefaa2438582ad7212b82de162fefa062d040fbc65c6b302a33ba438f2ecdc7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-30T13:56:06Z",
    "title_canon_sha256": "166c6f230eb4b2a3154b57654fc4e16b1bf4c29e052ec8d2475ed0bef5956ad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5084",
    "kind": "arxiv",
    "version": 1
  }
}