Pith Number

pith:5FLSC5KV

pith:2016:5FLSC5KVN53REMC6DKA3USJANZ

not attested not anchored not stored refs pending

Divergent trajectories under diagonal geodesic flow and splitting of discrete subgroups of $\mathrm{SO}(n,1) \times \mathrm{SO}(n,1)$

Lei Yang

arxiv:1609.04118 v2 · 2016-09-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FLSC5KVN53REMC6DKA3USJANZ}

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	2026-05-17T23:47:16.306116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9572175556f7712305e1a81ba49206e7eedc4a1dd4ed59e211d739c5ecb58d9

Aliases

arxiv: 1609.04118 · arxiv_version: 1609.04118v2 · doi: 10.48550/arxiv.1609.04118 · pith_short_12: 5FLSC5KVN53R · pith_short_16: 5FLSC5KVN53REMC6 · pith_short_8: 5FLSC5KV

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/5FLSC5KVN53REMC6DKA3USJANZ \
  | 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: e9572175556f7712305e1a81ba49206e7eedc4a1dd4ed59e211d739c5ecb58d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8dd8545bc50e8b21b6784a67f03c85f0bfedc6c7105940bc1e5746d992c8986",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-14T03:13:23Z",
    "title_canon_sha256": "d9fff19e0c2726a4ca27123706917064a7fcd23a652937b507391ab108adc943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04118",
    "kind": "arxiv",
    "version": 2
  }
}