Pith Number

pith:PARIB3G5

pith:2006:PARIB3G5YBJEUMJ7MWTNAAVIGF

not attested not anchored not stored refs pending

Knots with identical Khovanov homology

Liam Watson

arxiv:math/0606630 v3 · 2006-06-25 · 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{PARIB3G5YBJEUMJ7MWTNAAVIGF}

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	2026-05-18T02:41:31.840913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782280ecddc0524a313f65a6d002a83159cacd5de047b4203769cf836495a71a

Aliases

arxiv: math/0606630 · arxiv_version: math/0606630v3 · doi: 10.48550/arxiv.math/0606630 · pith_short_12: PARIB3G5YBJE · pith_short_16: PARIB3G5YBJEUMJ7 · pith_short_8: PARIB3G5

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/PARIB3G5YBJEUMJ7MWTNAAVIGF \
  | 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: 782280ecddc0524a313f65a6d002a83159cacd5de047b4203769cf836495a71a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285bc9af870ce63b6629321a25259f0cb7d900e8b36dd87397d9d4fba00c39c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-06-25T00:01:54Z",
    "title_canon_sha256": "93a08e3fb38d1f6c3380198d07de1ed96b0561758bdcd60767431f9587019b4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606630",
    "kind": "arxiv",
    "version": 3
  }
}