Pith Number

pith:IKPG6BPX

pith:2014:IKPG6BPXWWTUIQQ5NCOUFJ3D72

not attested not anchored not stored refs pending

The reductivity of spherical curves

Ayaka Shimizu

arxiv:1401.3811 v1 · 2014-01-16 · 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{IKPG6BPXWWTUIQQ5NCOUFJ3D72}

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	2026-05-18T03:02:06.909296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

429e6f05f7b5a744421d689d42a763fe978777178be6328d5f6fd8d2d06229ae

Aliases

arxiv: 1401.3811 · arxiv_version: 1401.3811v1 · doi: 10.48550/arxiv.1401.3811 · pith_short_12: IKPG6BPXWWTU · pith_short_16: IKPG6BPXWWTUIQQ5 · pith_short_8: IKPG6BPX

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/IKPG6BPXWWTUIQQ5NCOUFJ3D72 \
  | 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: 429e6f05f7b5a744421d689d42a763fe978777178be6328d5f6fd8d2d06229ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441752213532620200a5fb9fc18cb9aad0bb81ecbac935191fa878ee332a3542",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-16T02:07:49Z",
    "title_canon_sha256": "03338a18e33728b2659327f7dbfef9d3fdc0445c9cded1a22c0f9bc93f8fe970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3811",
    "kind": "arxiv",
    "version": 1
  }
}