Pith Number

pith:RHZVCVOL

pith:2019:RHZVCVOLEBA5SCJKZ3AOYLSYLJ

not attested not anchored not stored refs pending

Unique diagram of a spatial arc and the knotting probability

Akio Kawauchi

arxiv:1907.10194 v1 · 2019-07-24 · 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{RHZVCVOLEBA5SCJKZ3AOYLSYLJ}

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	2026-05-17T23:39:38.701451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89f35155cb2041d9092acec0ec2e585a5fa5162fb4e4b3f45a8a460e82f41f8d

Aliases

arxiv: 1907.10194 · arxiv_version: 1907.10194v1 · doi: 10.48550/arxiv.1907.10194 · pith_short_12: RHZVCVOLEBA5 · pith_short_16: RHZVCVOLEBA5SCJK · pith_short_8: RHZVCVOL

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/RHZVCVOLEBA5SCJKZ3AOYLSYLJ \
  | 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: 89f35155cb2041d9092acec0ec2e585a5fa5162fb4e4b3f45a8a460e82f41f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bab2c841b6fbf4a035e9a3473922037c99a2357d303509c7203a99d1b0ba719",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-24T00:55:59Z",
    "title_canon_sha256": "757a3f5d6e089c253e793497541e6fcb1dded355f7797335f5c1e0248e5a56cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10194",
    "kind": "arxiv",
    "version": 1
  }
}