Pith Number

pith:C6XR5PDH

pith:2026:C6XR5PDHKXV56AOHAN5L7VA6SC

not attested not anchored not stored refs pending

The unknotting number of 11n102 is 2

Tye Lidman

arxiv:2606.12431 v1 · 2026-05-15 · 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{C6XR5PDHKXV56AOHAN5L7VA6SC}

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	2026-06-12T00:07:50.637482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17af1ebc6755ebdf01c7037abfd41e9087ce55a89863909ff620c03b53b21a5c

Aliases

arxiv: 2606.12431 · arxiv_version: 2606.12431v1 · doi: 10.48550/arxiv.2606.12431 · pith_short_12: C6XR5PDHKXV5 · pith_short_16: C6XR5PDHKXV56AOH · pith_short_8: C6XR5PDH

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/C6XR5PDHKXV56AOHAN5L7VA6SC \
  | 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: 17af1ebc6755ebdf01c7037abfd41e9087ce55a89863909ff620c03b53b21a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be0421584310d372977398540bb68d9bffc1e35464f9b79d1dd92b618806b0c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-15T14:44:09Z",
    "title_canon_sha256": "c5ce06a72477267afaf2caf9803f6af65b9481936e6ec81ebc643acdd3f90f59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12431",
    "kind": "arxiv",
    "version": 1
  }
}