Pith Number

pith:4HHVLP6T

pith:2005:4HHVLP6TE3TWQMF3ODV3NQYSNM

not attested not anchored not stored refs pending

All integral slopes can be Seifert fibered slopes for hyperbolic knots

Hyun-Jong Song, Kimihiko Motegi

arxiv:math/0505322 v1 · 2005-05-16 · 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{4HHVLP6TE3TWQMF3ODV3NQYSNM}

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	2026-05-18T02:41:32.042728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cf55bfd326e76830bb70ebb6c3126b3074212da81cb44efa83ba343d054f0e

Aliases

arxiv: math/0505322 · arxiv_version: math/0505322v1 · doi: 10.48550/arxiv.math/0505322 · pith_short_12: 4HHVLP6TE3TW · pith_short_16: 4HHVLP6TE3TWQMF3 · pith_short_8: 4HHVLP6T

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/4HHVLP6TE3TWQMF3ODV3NQYSNM \
  | 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: e1cf55bfd326e76830bb70ebb6c3126b3074212da81cb44efa83ba343d054f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfc7564b3e1d1516fb9b40fcc7ff8fbfe6c441747dab9add8fa3136347a78065",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-05-16T10:51:14Z",
    "title_canon_sha256": "c866f9b9caf055ea9c0738d419da3f7dd95f9391d1c012c934884f33e223db8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505322",
    "kind": "arxiv",
    "version": 1
  }
}