Pith Number

pith:WPKCJE7A

pith:2016:WPKCJE7ATTHLPO22YBX3MTHYMY

not attested not anchored not stored refs pending

Knot Homology and sheaves on the Hilbert scheme of points on the plane

Alexei Oblomkov, Lev Rozansky

arxiv:1608.03227 v4 · 2016-08-10 · math.GT · math.AG · 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{WPKCJE7ATTHLPO22YBX3MTHYMY}

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	2026-05-18T00:25:02.245252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d42493e09cceb7bb5ac06fb64cf8662197495c89eb3f1d9b45811a4b67d0f1

Aliases

arxiv: 1608.03227 · arxiv_version: 1608.03227v4 · doi: 10.48550/arxiv.1608.03227 · pith_short_12: WPKCJE7ATTHL · pith_short_16: WPKCJE7ATTHLPO22 · pith_short_8: WPKCJE7A

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/WPKCJE7ATTHLPO22YBX3MTHYMY \
  | 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: b3d42493e09cceb7bb5ac06fb64cf8662197495c89eb3f1d9b45811a4b67d0f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9286674deeec0a4488d98c5a546d41019d58d80a40bf49a26ad60a2aa8aa12",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-10T16:15:11Z",
    "title_canon_sha256": "e57651e8850ebb8dec144ea30890938d52403c0c4dc04aa68783ef78c7315a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03227",
    "kind": "arxiv",
    "version": 4
  }
}