Pith Number

pith:KK7NE5P5

pith:2011:KK7NE5P5Y2XJEL73MW7K5MYJSK

not attested not anchored not stored refs pending

An explicit formula for the discrete power function associated with circle patterns of Schramm type

Hisashi Ando, Kenji Kajiwara, Mike Hay, Tetsu Masuda

arxiv:1105.1612 v3 · 2011-05-09 · nlin.SI · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK7NE5P5Y2XJEL73MW7K5MYJSK}

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	2026-05-18T04:03:54.490938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52bed275fdc6ae922ffb65beaeb3099299c4309102a73a335b21585d8f541d45

Aliases

arxiv: 1105.1612 · arxiv_version: 1105.1612v3 · doi: 10.48550/arxiv.1105.1612 · pith_short_12: KK7NE5P5Y2XJ · pith_short_16: KK7NE5P5Y2XJEL73 · pith_short_8: KK7NE5P5

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/KK7NE5P5Y2XJEL73MW7K5MYJSK \
  | 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: 52bed275fdc6ae922ffb65beaeb3099299c4309102a73a335b21585d8f541d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ff6a09116efd7491bffbb010986b1dcc995be19767ed63da8ad1e64f307305",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-05-09T10:02:41Z",
    "title_canon_sha256": "9392f1420296439a8c3e1c58f94651e6c9a94efc553809e8b97233719634731e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1612",
    "kind": "arxiv",
    "version": 3
  }
}