Pith Number

pith:C526NV67

pith:2004:C526NV6772MSONZNKSHADL3SZE

not attested not anchored not stored refs pending

Classification of $n$-component Brunnian links up to $C_n$-move

Akira Yasuhara, Haruko Aida Miyazawa

arxiv:math/0412490 v1 · 2004-12-24 · 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{C526NV6772MSONZNKSHADL3SZE}

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	2026-07-04T14:39:29.448432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1775e6d7dffe9927372d548e01af72c928695c8c72c2c34f1ea6f9c173f86ced

Aliases

arxiv: math/0412490 · arxiv_version: math/0412490v1 · doi: 10.48550/arxiv.math/0412490 · pith_short_12: C526NV6772MS · pith_short_16: C526NV6772MSONZN · pith_short_8: C526NV67

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/C526NV6772MSONZNKSHADL3SZE \
  | 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: 1775e6d7dffe9927372d548e01af72c928695c8c72c2c34f1ea6f9c173f86ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4747aa892beffac3a4916715dd0dad640d7178b00e3ac092573dedb902da6de7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-12-24T14:02:54Z",
    "title_canon_sha256": "34aa9ab67ae89d9c7ae7785ba6b745efb72897c91abd020d7e1cd0086a486210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412490",
    "kind": "arxiv",
    "version": 1
  }
}