Pith Number

pith:QBOZCPW2

pith:2015:QBOZCPW2UHGC46JOJPFUKBFSFU

not attested not anchored not stored refs pending

Stabilization of the Khovanov Homotopy Type of Torus Links

Michael Willis

arxiv:1511.02742 v1 · 2015-11-09 · 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{QBOZCPW2UHGC46JOJPFUKBFSFU}

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	2026-05-18T01:27:29.472763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805d913edaa1cc2e792e4bcb4504b22d268cc8673c8711fab9f99f970bb03584

Aliases

arxiv: 1511.02742 · arxiv_version: 1511.02742v1 · doi: 10.48550/arxiv.1511.02742 · pith_short_12: QBOZCPW2UHGC · pith_short_16: QBOZCPW2UHGC46JO · pith_short_8: QBOZCPW2

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/QBOZCPW2UHGC46JOJPFUKBFSFU \
  | 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: 805d913edaa1cc2e792e4bcb4504b22d268cc8673c8711fab9f99f970bb03584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c8a486c53d57f7a52ad812310454ad34caf0791f9f7b425ba7977a6559a886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-09T16:23:27Z",
    "title_canon_sha256": "c38f27b130bde50774242721c467ede551ce309eed0fd4bf44b14331859b7f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02742",
    "kind": "arxiv",
    "version": 1
  }
}