Pith Number

pith:VRQMAQ2F

pith:2019:VRQMAQ2F43GXLDZPQ4NPLHQ2WX

not attested not anchored not stored refs pending

Chiral Balls: Knotted Structures with Both Chirality and Three-dimensional Rotational Symmetry

Chunxu Mao, Douglas H. Werner, Jun Hu, Lei Kang, Wending Mai, Yifan Chen

arxiv:1904.05750 v2 · 2019-04-06 · physics.class-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRQMAQ2F43GXLDZPQ4NPLHQ2WX}

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	2026-07-04T23:52:35.513143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac60c04345e6cd758f2f871af59e1ab5fec82fc56fd8dcd691df2be921d4e6be

Aliases

arxiv: 1904.05750 · arxiv_version: 1904.05750v2 · doi: 10.48550/arxiv.1904.05750 · pith_short_12: VRQMAQ2F43GX · pith_short_16: VRQMAQ2F43GXLDZP · pith_short_8: VRQMAQ2F

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/VRQMAQ2F43GXLDZPQ4NPLHQ2WX \
  | 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: ac60c04345e6cd758f2f871af59e1ab5fec82fc56fd8dcd691df2be921d4e6be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cd8c229149279698a927a59826508a989e48d9c3a20389a72292836987fffb",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2019-04-06T01:57:52Z",
    "title_canon_sha256": "d7034a25e789c976e71ebc237e56540ea0fc9d04efe2e07e76870dcdff73fe8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05750",
    "kind": "arxiv",
    "version": 2
  }
}