Pith Number

pith:JXTU7Y3O

pith:2009:JXTU7Y3OWXGTFS3H3W75XQ6PG2

not attested not anchored not stored refs pending

Computable bounds for Rasmussen's concordance invariant

Andrew Lobb

arxiv:0908.2745 v2 · 2009-08-19 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXTU7Y3OWXGTFS3H3W75XQ6PG2}

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	2026-05-18T03:38:46.614608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de74fe36eb5cd32cb67ddbfdbc3cf36b2b653db8bfbdc5071514dbe8b5eb1bb

Aliases

arxiv: 0908.2745 · arxiv_version: 0908.2745v2 · doi: 10.48550/arxiv.0908.2745 · pith_short_12: JXTU7Y3OWXGT · pith_short_16: JXTU7Y3OWXGTFS3H · pith_short_8: JXTU7Y3O

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/JXTU7Y3OWXGTFS3H3W75XQ6PG2 \
  | 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: 4de74fe36eb5cd32cb67ddbfdbc3cf36b2b653db8bfbdc5071514dbe8b5eb1bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "facd333c206d9a069aa6d951d683481ccd268114dc65ea33b646bbaf42e58568",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-08-19T13:03:09Z",
    "title_canon_sha256": "47d9e5421fdf7fc57750824080ac073d6085aa3e65f1be237522d6d2542af395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2745",
    "kind": "arxiv",
    "version": 2
  }
}