Pith Number

pith:WAYSJIOZ

pith:2026:WAYSJIOZ6RCQWXDTJZDBXTZYLA

not attested not anchored not stored refs pending

Fractional Dehn twist coefficients and rank bounds for categorified link invariants

Fraser Binns. Diana Hubbard

arxiv:2608.06201 v1 · 2026-08-06 · 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{WAYSJIOZ6RCQWXDTJZDBXTZYLA}

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	2026-08-07T01:40:55.819940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03124a1d9f4450b5c734e461bcf38583a66620c0cb9a0aaf20df1f67eac2c37

Aliases

arxiv: 2608.06201 · arxiv_version: 2608.06201v1 · doi: 10.48550/arxiv.2608.06201 · pith_short_12: WAYSJIOZ6RCQ · pith_short_16: WAYSJIOZ6RCQWXDT · pith_short_8: WAYSJIOZ

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/WAYSJIOZ6RCQWXDTJZDBXTZYLA \
  | 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: b03124a1d9f4450b5c734e461bcf38583a66620c0cb9a0aaf20df1f67eac2c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44025c4418eed5c1d64dd7abc5cc024a1012d4e3b3beb90a90a04edfcbef7119",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-08-06T15:58:27Z",
    "title_canon_sha256": "c39a37718e6266eda3d9177c0da53500a5b7dc2d27c9ca617ae1c7fed6911dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06201",
    "kind": "arxiv",
    "version": 1
  }
}