Pith Number

pith:YWNY7AOT

pith:2026:YWNY7AOT7RU66455BWEY7V4CRM

not attested not anchored not stored refs pending

A note on the knot Floer homology of freely 2-periodic knots and their quotients

Aakash Parikh, Timothy Bates

arxiv:2606.21834 v1 · 2026-06-20 · 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{YWNY7AOT7RU66455BWEY7V4CRM}

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	2026-06-23T02:13:00.347656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c59b8f81d3fc69ef73bd0d898fd7828b1f2d4408c7a0f16815a7c350c82a15f1

Aliases

arxiv: 2606.21834 · arxiv_version: 2606.21834v1 · doi: 10.48550/arxiv.2606.21834 · pith_short_12: YWNY7AOT7RU6 · pith_short_16: YWNY7AOT7RU66455 · pith_short_8: YWNY7AOT

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/YWNY7AOT7RU66455BWEY7V4CRM \
  | 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: c59b8f81d3fc69ef73bd0d898fd7828b1f2d4408c7a0f16815a7c350c82a15f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941609f61fa2d01d127907b199df805184612ded8f674838b20e9665f01eade6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-20T02:00:34Z",
    "title_canon_sha256": "c6633e82d09769425577b5d39b7dbb902acd442596e4b4f74091c6e4db680977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21834",
    "kind": "arxiv",
    "version": 1
  }
}