Pith Number

pith:DBWEDDLT

pith:2025:DBWEDDLTWWPKPSLLIUMKWFLJPL

not attested not anchored not stored refs pending

Koszul duality and the link surgery formula

Ian Zemke

arxiv:2507.09964 v1 · 2025-07-14 · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBWEDDLTWWPKPSLLIUMKWFLJPL}

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.

Cited by

1 paper in Pith

On L-space surgeries on two-bridge links

Receipt and verification

First computed	2026-07-05T11:36:42.913383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

186c418d73b59ea7c96b4518ab15697ae6487a71a3bee4c759035828200e5373

Aliases

arxiv: 2507.09964 · arxiv_version: 2507.09964v1 · doi: 10.48550/arxiv.2507.09964 · pith_short_12: DBWEDDLTWWPK · pith_short_16: DBWEDDLTWWPKPSLL · pith_short_8: DBWEDDLT

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/DBWEDDLTWWPKPSLLIUMKWFLJPL \
  | 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: 186c418d73b59ea7c96b4518ab15697ae6487a71a3bee4c759035828200e5373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3befd99fb98249b60eed3642966730082db7120b283fa8b81403c95eb1917429",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-14T06:30:44Z",
    "title_canon_sha256": "ff43a22c17e93e1c1f8064e83b527e7bd83cd6058ef34d4397e48802a027e47e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09964",
    "kind": "arxiv",
    "version": 1
  }
}