Pith Number

pith:QPO6656Y

pith:2012:QPO6656YWKV7QKZRZTKHLMJYJ4

not attested not anchored not stored refs pending

McShane's Identity in Rank One Symmetric Spaces

Inkang Kim, Joonhyung Kim, Ser Peow Tan

arxiv:1203.5901 v1 · 2012-03-27 · math.GT · math.CV · 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{QPO6656YWKV7QKZRZTKHLMJYJ4}

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	2026-05-17T23:53:18.823691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ddef77d8b2abf82b31ccd475b1384f0709d4a98df50b8b3501bd385b02bee5

Aliases

arxiv: 1203.5901 · arxiv_version: 1203.5901v1 · doi: 10.48550/arxiv.1203.5901 · pith_short_12: QPO6656YWKV7 · pith_short_16: QPO6656YWKV7QKZR · pith_short_8: QPO6656Y

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/QPO6656YWKV7QKZRZTKHLMJYJ4 \
  | 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: 83ddef77d8b2abf82b31ccd475b1384f0709d4a98df50b8b3501bd385b02bee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212f114e3c502a938dccc56694d705e9d4d8965358081001aeae16bcbe47fee6",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-27T09:10:10Z",
    "title_canon_sha256": "99e223f6f8157eec997e98ed739305427635f940a613695dda81795dcc70b95e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5901",
    "kind": "arxiv",
    "version": 1
  }
}