Pith Number

pith:5QY6BQMI

pith:2015:5QY6BQMI4HNQNUAT5NVEYKW32S

not attested not anchored not stored refs pending

Flats in spaces with convex geodesic bicombings

Dominic Descombes, Urs Lang

arxiv:1508.02745 v2 · 2015-08-11 · math.MG · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QY6BQMI4HNQNUAT5NVEYKW32S}

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	2026-05-18T01:19:11.865154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec31e0c188e1db06d013eb6a4c2adbd4a404f30e8527803ca79889ddb8654aa1

Aliases

arxiv: 1508.02745 · arxiv_version: 1508.02745v2 · doi: 10.48550/arxiv.1508.02745 · pith_short_12: 5QY6BQMI4HNQ · pith_short_16: 5QY6BQMI4HNQNUAT · pith_short_8: 5QY6BQMI

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/5QY6BQMI4HNQNUAT5NVEYKW32S \
  | 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: ec31e0c188e1db06d013eb6a4c2adbd4a404f30e8527803ca79889ddb8654aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db5fefe32c17c49cbd95a130d24ffc5aebe92d34aa5b351211c5924da974ed6e",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-11T20:58:04Z",
    "title_canon_sha256": "2f4c1d92fc82089489903f722e372630c557a6c5f92186dff28236ec0c3d630e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02745",
    "kind": "arxiv",
    "version": 2
  }
}