Pith Number

pith:Z6GZ7YUE

pith:2019:Z6GZ7YUEWMRC6OWWLUH7QBGW63

not attested not anchored not stored refs pending

Arrow diagrams on spherical curves and computations

Masashi Takamura, Noboru Ito

arxiv:1908.06085 v1 · 2019-08-16 · 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{Z6GZ7YUEWMRC6OWWLUH7QBGW63}

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	2026-07-04T23:58:12.203669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf8d9fe284b3222f3ad65d0ff804d6f6c1df99e9919a6ae89bb45dc1f3df0b01

Aliases

arxiv: 1908.06085 · arxiv_version: 1908.06085v1 · doi: 10.48550/arxiv.1908.06085 · pith_short_12: Z6GZ7YUEWMRC · pith_short_16: Z6GZ7YUEWMRC6OWW · pith_short_8: Z6GZ7YUE

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/Z6GZ7YUEWMRC6OWWLUH7QBGW63 \
  | 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: cf8d9fe284b3222f3ad65d0ff804d6f6c1df99e9919a6ae89bb45dc1f3df0b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92aa3877aa82352ddb32507e4cf6922e013dc11d1adecc62e8c147a04f8a0acf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-16T03:52:42Z",
    "title_canon_sha256": "89bd5f44ae742d0132443c8441cc632a609d53babd75b2d3884a778d3d2736e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06085",
    "kind": "arxiv",
    "version": 1
  }
}