Pith Number

pith:QD3DPMCU

pith:2017:QD3DPMCURU2VJFZDUFLYP4MXT2

not attested not anchored not stored refs pending

Up-down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II

Ayaka Shimizu, Kanako Oshiro, Yoshiro Yaguchi

arxiv:1703.03573 v1 · 2017-03-10 · 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{QD3DPMCURU2VJFZDUFLYP4MXT2}

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	2026-05-18T00:48:58.708214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f637b0548d35549723a15787f1979e98355ddf26b3cbe4a2cae48629d4bb03

Aliases

arxiv: 1703.03573 · arxiv_version: 1703.03573v1 · doi: 10.48550/arxiv.1703.03573 · pith_short_12: QD3DPMCURU2V · pith_short_16: QD3DPMCURU2VJFZD · pith_short_8: QD3DPMCU

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/QD3DPMCURU2VJFZDUFLYP4MXT2 \
  | 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: 80f637b0548d35549723a15787f1979e98355ddf26b3cbe4a2cae48629d4bb03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c945d568efa5bf7cf2dae21461e7a7c8c851d8d5273c09185b5dceb4ae382a17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-10T08:28:30Z",
    "title_canon_sha256": "abf2d5dc8e81a3cabb852b7ae51a14bd3cd7d6ced2e50efd887aa4c20f7c0d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03573",
    "kind": "arxiv",
    "version": 1
  }
}