Pith Number

pith:2Y2XA5RN

pith:2012:2Y2XA5RNXHWT6C22M5NJ2FCJMU

not attested not anchored not stored refs pending

Malfatti's problem on the hyperbolic plane

\'Akos G.Horv\'ath

arxiv:1204.5014 v2 · 2012-04-23 · 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{2Y2XA5RNXHWT6C22M5NJ2FCJMU}

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	2026-05-18T02:56:11.843055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63570762db9ed3f0b5a675a9d14496533cb4ddecfb1b5abe3d7e8f19a257d35

Aliases

arxiv: 1204.5014 · arxiv_version: 1204.5014v2 · doi: 10.48550/arxiv.1204.5014 · pith_short_12: 2Y2XA5RNXHWT · pith_short_16: 2Y2XA5RNXHWT6C22 · pith_short_8: 2Y2XA5RN

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/2Y2XA5RNXHWT6C22M5NJ2FCJMU \
  | 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: d63570762db9ed3f0b5a675a9d14496533cb4ddecfb1b5abe3d7e8f19a257d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "548e23201aec3d27b33031e6fecec97bd7f5cca61f8e03b3de840e4f6689e440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-04-23T09:58:18Z",
    "title_canon_sha256": "81d80043d34d2d6de243e3aa6711dcce3039ecaf89ea8504936a209d3bff47ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5014",
    "kind": "arxiv",
    "version": 2
  }
}