Pith Number

pith:BQZGVAZB

pith:2018:BQZGVAZBH6N3UIF6KMNMWXXEQU

not attested not anchored not stored refs pending

On Gauss codes of virtual doodles

Andrew Bartholomew, Naoko Kamada, Roger Fenn, Seiichi Kamada

arxiv:1806.05885 v1 · 2018-06-15 · 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{BQZGVAZBH6N3UIF6KMNMWXXEQU}

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	2026-05-18T00:13:03.757339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c326a83213f9bba20be531acb5ee4852c0fcc39d115f45f8abf7a611bb908c6

Aliases

arxiv: 1806.05885 · arxiv_version: 1806.05885v1 · doi: 10.48550/arxiv.1806.05885 · pith_short_12: BQZGVAZBH6N3 · pith_short_16: BQZGVAZBH6N3UIF6 · pith_short_8: BQZGVAZB

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/BQZGVAZBH6N3UIF6KMNMWXXEQU \
  | 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: 0c326a83213f9bba20be531acb5ee4852c0fcc39d115f45f8abf7a611bb908c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52bbc05abb9bedfc2203d17ee823a60a0bd604667ff6ccf3b86f832540670e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-15T10:12:24Z",
    "title_canon_sha256": "0e028a997d49287d36ffbfbf0ee6c436085c42cf9abbd7bbb4455b392568a2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05885",
    "kind": "arxiv",
    "version": 1
  }
}