Pith Number

pith:7OUVESPZ

pith:2019:7OUVESPZJQURWLGIHZYMXJANXC

not attested not anchored not stored refs pending

Milnor invariants, $2n$-moves and $V^{n}$-moves for welded string links

Akira Yasuhara, Haruko A. Miyazawa, Kodai Wada

arxiv:1903.00347 v1 · 2019-02-28 · 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{7OUVESPZJQURWLGIHZYMXJANXC}

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	2026-05-17T23:52:19.985776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba95249f94c291b2cc83e70cba40db8927bd98654ce04a568d787901f97e688

Aliases

arxiv: 1903.00347 · arxiv_version: 1903.00347v1 · doi: 10.48550/arxiv.1903.00347 · pith_short_12: 7OUVESPZJQUR · pith_short_16: 7OUVESPZJQURWLGI · pith_short_8: 7OUVESPZ

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/7OUVESPZJQURWLGIHZYMXJANXC \
  | 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: fba95249f94c291b2cc83e70cba40db8927bd98654ce04a568d787901f97e688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0c4c2c38dd89d0eb030ee1d76b675284357189a132b7f06c3a058368e30204",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-28T04:28:53Z",
    "title_canon_sha256": "5a32a9c4b455bd722a39981a89bc56f803ee69d27c129d9ecd80da6f927fd7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00347",
    "kind": "arxiv",
    "version": 1
  }
}