Pith Number

pith:ASRFQETE

pith:2025:ASRFQETEAW22XLGJO2GMMVUIZL

not attested not anchored not stored refs pending

Morse matchings and Khovanov homology of 4-strand torus links

Tuomas Kelom\"aki

arxiv:2507.15060 v1 · 2025-07-20 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASRFQETEAW22XLGJO2GMMVUIZL}

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	2026-07-05T11:40:17.845475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a258126405b5abacc9768cc65688cafa57364977f5e563d09b87232bfb95fc

Aliases

arxiv: 2507.15060 · arxiv_version: 2507.15060v1 · doi: 10.48550/arxiv.2507.15060 · pith_short_12: ASRFQETEAW22 · pith_short_16: ASRFQETEAW22XLGJ · pith_short_8: ASRFQETE

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/ASRFQETEAW22XLGJO2GMMVUIZL \
  | 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: 04a258126405b5abacc9768cc65688cafa57364977f5e563d09b87232bfb95fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92efb4239a4714ecd21ab187115294a77111a9a70eba8cc632aafcc0e723f2e7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-20T17:51:42Z",
    "title_canon_sha256": "a5a4bd5764a585be9f10afa11aa4e060a8a842c320f48ea2544a00ae4ea15ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15060",
    "kind": "arxiv",
    "version": 1
  }
}