Pith Number

pith:GS7XNMA2

pith:2012:GS7XNMA2DM7LMTLXTV3TQJDFIV

not attested not anchored not stored refs pending

Hyperbolic Spaces and Ptolemy Moebius Structures

Renlong Miao, Viktor Schroeder

arxiv:1210.5133 v1 · 2012-10-18 · math.MG · 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{GS7XNMA2DM7LMTLXTV3TQJDFIV}

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	2026-05-18T03:42:53.790507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34bf76b01a1b3eb64d779d77382465455a703783be233ff6cd3b469beb8d4522

Aliases

arxiv: 1210.5133 · arxiv_version: 1210.5133v1 · doi: 10.48550/arxiv.1210.5133 · pith_short_12: GS7XNMA2DM7L · pith_short_16: GS7XNMA2DM7LMTLX · pith_short_8: GS7XNMA2

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/GS7XNMA2DM7LMTLXTV3TQJDFIV \
  | 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: 34bf76b01a1b3eb64d779d77382465455a703783be233ff6cd3b469beb8d4522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4621064919bc63cd28c44e1c9ed1e0a019fb37f3c1884325d92ae50a641fd0e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-10-18T14:10:49Z",
    "title_canon_sha256": "5302cd2ef1ae3503a961bec09cf9f90871fd0da9e76504593f3da225cdc101f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5133",
    "kind": "arxiv",
    "version": 1
  }
}