Pith Number

pith:CIKDMS6N

pith:2015:CIKDMS6NMBBZHWBWDUUMMYUYAZ

not attested not anchored not stored refs pending

Hyperbolic geometry in the work of Johann Heinrich Lambert

Athanase Papadopoulos (IRMA), Guillaume Th\'eret (IRMA, IMB)

arxiv:1503.01865 v1 · 2015-03-06 · math.MG · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIKDMS6NMBBZHWBWDUUMMYUYAZ}

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	2026-05-18T02:25:27.391894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1214364bcd604393d8361d28c662980675009757f0b5a30450c7b97625622e9c

Aliases

arxiv: 1503.01865 · arxiv_version: 1503.01865v1 · doi: 10.48550/arxiv.1503.01865 · pith_short_12: CIKDMS6NMBBZ · pith_short_16: CIKDMS6NMBBZHWBW · pith_short_8: CIKDMS6N

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/CIKDMS6NMBBZHWBWDUUMMYUYAZ \
  | 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: 1214364bcd604393d8361d28c662980675009757f0b5a30450c7b97625622e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b7e3619bc1423dcfc6b9e0124bb98f3db969b20d8bc820e5fa1cb64cd4de90",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-03-06T07:18:20Z",
    "title_canon_sha256": "f6c283e84d9f7b49a21f0373e2199677d17fa82c8325bc59650215f0581197e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01865",
    "kind": "arxiv",
    "version": 1
  }
}