Pith Number

pith:H6TJC4QX

pith:2010:H6TJC4QXEGFZK45HJ42MKQHHHQ

not attested not anchored not stored refs pending

Factorization formulas and computations of higher-order Alexander invariants for homologically fibered knots

Hiroshi Goda, Takuya Sakasai

arxiv:1004.3326 v3 · 2010-04-20 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6TJC4QXEGFZK45HJ42MKQHHHQ}

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	2026-05-18T04:10:09.204751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fa6917217218b9573a74f34c540e73c0a7a6360e20bbab7a977d4c65635750f

Aliases

arxiv: 1004.3326 · arxiv_version: 1004.3326v3 · doi: 10.48550/arxiv.1004.3326 · pith_short_12: H6TJC4QXEGFZ · pith_short_16: H6TJC4QXEGFZK45H · pith_short_8: H6TJC4QX

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/H6TJC4QXEGFZK45HJ42MKQHHHQ \
  | 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: 3fa6917217218b9573a74f34c540e73c0a7a6360e20bbab7a977d4c65635750f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe72a26d8dfee1083b04f6619772815fb8a76438a2fdbfcadaade07b81bfa59f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-20T00:55:28Z",
    "title_canon_sha256": "c5d1a50992987ccafe170b5fa25d87ac2221c362b260e002047d43543c55f49f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3326",
    "kind": "arxiv",
    "version": 3
  }
}