Pith Number

pith:ADT5JFKJ

pith:2004:ADT5JFKJGC4R5J2OAB6BBDMMQU

not attested not anchored not stored refs pending

Rasmussen invariant, Slice-Bennequin inequality, and sliceness of knots

Alexander N. Shumakovitch

arxiv:math/0411643 v2 · 2004-11-29 · 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{ADT5JFKJGC4R5J2OAB6BBDMMQU}

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	2026-05-18T00:12:58.982327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00e7d4954930b91ea74e007c108d8c8534209f3d6c7a01cae6ca7a958aec38df

Aliases

arxiv: math/0411643 · arxiv_version: math/0411643v2 · doi: 10.48550/arxiv.math/0411643 · pith_short_12: ADT5JFKJGC4R · pith_short_16: ADT5JFKJGC4R5J2O · pith_short_8: ADT5JFKJ

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/ADT5JFKJGC4R5J2OAB6BBDMMQU \
  | 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: 00e7d4954930b91ea74e007c108d8c8534209f3d6c7a01cae6ca7a958aec38df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067d224ebf262beb1369256e62d823122f3951663aa05bd6b747fe23417178e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2004-11-29T20:53:42Z",
    "title_canon_sha256": "5a0f47aa51c725bf6aeaaf529d902bb224ef6bf2b5cb852688233d2d88fc2455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411643",
    "kind": "arxiv",
    "version": 2
  }
}