Pith Number

pith:CGK4SD43

pith:2014:CGK4SD43PTD3NRD4QWUW6LC4SX

not attested not anchored not stored refs pending

Convex real projective structures and Hilbert metrics

Athanase Papadopoulos (IRMA), Inkang Kim (KIAS)

arxiv:1406.7079 v1 · 2014-06-27 · math.GT · math.DG · 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{CGK4SD43PTD3NRD4QWUW6LC4SX}

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	2026-05-18T02:48:54.169502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1195c90f9b7cc7b6c47c85a96f2c5c95e3d05e263ac41e1b04266bbf8510a7ba

Aliases

arxiv: 1406.7079 · arxiv_version: 1406.7079v1 · doi: 10.48550/arxiv.1406.7079 · pith_short_12: CGK4SD43PTD3 · pith_short_16: CGK4SD43PTD3NRD4 · pith_short_8: CGK4SD43

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/CGK4SD43PTD3NRD4QWUW6LC4SX \
  | 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: 1195c90f9b7cc7b6c47c85a96f2c5c95e3d05e263ac41e1b04266bbf8510a7ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95d11ffb13e3ab45ac9e06c0688afc3d8e7241c3ffd21551ec6e53fbc6b7a35",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-27T06:20:27Z",
    "title_canon_sha256": "cc27b11dbcf08afbb1008730911a1e744a1436153d759c18ff9d9d694417340e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7079",
    "kind": "arxiv",
    "version": 1
  }
}