Pith Number

pith:D6ST2O2X

pith:2014:D6ST2O2X2UZQYDDTTN5YJYWA67

not attested not anchored not stored refs pending

The local-global principle for integral bends in orthoplicial Apollonian sphere packings

Kei Nakamura

arxiv:1401.2980 v1 · 2014-01-13 · math.NT · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6ST2O2X2UZQYDDTTN5YJYWA67}

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	2026-05-18T03:02:31.348729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fa53d3b57d5330c0c739b7b84e2c0f7e6f8ab5c00354c13b088bda987e49123

Aliases

arxiv: 1401.2980 · arxiv_version: 1401.2980v1 · doi: 10.48550/arxiv.1401.2980 · pith_short_12: D6ST2O2X2UZQ · pith_short_16: D6ST2O2X2UZQYDDT · pith_short_8: D6ST2O2X

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/D6ST2O2X2UZQYDDTTN5YJYWA67 \
  | 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: 1fa53d3b57d5330c0c739b7b84e2c0f7e6f8ab5c00354c13b088bda987e49123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cb0615ad92a3543bfe61c7c5b184049584e24858c53fe7b0fbcbfaa1a260437",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-13T20:52:57Z",
    "title_canon_sha256": "cdeb0a495c1b730cd3668a10048f1b1a9dee5f766029d950a2ef59ea2417c93d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2980",
    "kind": "arxiv",
    "version": 1
  }
}