Pith Number

pith:KFFHYVLR

pith:2016:KFFHYVLRR5XFO2Y5EDN2WO4QDC

not attested not anchored not stored refs pending

Lorentzian Kleinian Groups

Thierry Barbot (LANLG)

arxiv:1609.03863 v1 · 2016-09-13 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFFHYVLRR5XFO2Y5EDN2WO4QDC}

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	2026-05-18T01:04:42.271793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

514a7c55718f6e576b1d20dbab3b901883744c67b57f878d5de677f7ef49ceef

Aliases

arxiv: 1609.03863 · arxiv_version: 1609.03863v1 · doi: 10.48550/arxiv.1609.03863 · pith_short_12: KFFHYVLRR5XF · pith_short_16: KFFHYVLRR5XFO2Y5 · pith_short_8: KFFHYVLR

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/KFFHYVLRR5XFO2Y5EDN2WO4QDC \
  | 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: 514a7c55718f6e576b1d20dbab3b901883744c67b57f878d5de677f7ef49ceef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b265fa458d1c07bfcbc6486da90bff2f7dcc003a6881072a2b19cdb753ed0f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-13T14:37:41Z",
    "title_canon_sha256": "242d28d3ab96d0f10346e7469796b347b049b93398f6511b23f2794086bc3748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03863",
    "kind": "arxiv",
    "version": 1
  }
}