Pith Number

pith:XIL7OAZ3

pith:2026:XIL7OAZ3BN4LODLZARUEGGXEIF

not attested not anchored not stored refs pending

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase

Bernd J. Wuebben

arxiv:2607.26096 v1 · 2026-07-28 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIL7OAZ3BN4LODLZARUEGGXEIF}

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	2026-07-30T00:08:20.393231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

ba17f7033b0b78b70d790468431ae441545fc5d23ad0c8d8a32558955f060b43

Aliases

arxiv: 2607.26096 · arxiv_version: 2607.26096v1 · doi: 10.48550/arxiv.2607.26096 · pith_short_12: XIL7OAZ3BN4L · pith_short_16: XIL7OAZ3BN4LODLZ · pith_short_8: XIL7OAZ3

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/XIL7OAZ3BN4LODLZARUEGGXEIF \
  | 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: ba17f7033b0b78b70d790468431ae441545fc5d23ad0c8d8a32558955f060b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3b17064ca8063a322c2592765fba1c31f40576be5b930e2b2c7ce7cc5d914b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-28T02:29:39Z",
    "title_canon_sha256": "e262bfa1e240ac49339f2ec1a6577aa2784767f67c11cabd12c9c279786499e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26096",
    "kind": "arxiv",
    "version": 1
  }
}