Pith Number

pith:TKCP7A2X

pith:2017:TKCP7A2XKDS2GYBPIDUJ5KTPSI

not attested not anchored not stored refs pending

Equidistribution of expanding translates of curves in homogeneous spaces with the action of $(\mathrm{SO}(n,1))^k$

Lei Yang

arxiv:1706.01051 v1 · 2017-06-04 · 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{TKCP7A2XKDS2GYBPIDUJ5KTPSI}

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	2026-05-18T00:43:06.937580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a84ff835750e5a3602f40e89eaa6f923cb38ceae0ca766e327ca391125cbc14

Aliases

arxiv: 1706.01051 · arxiv_version: 1706.01051v1 · doi: 10.48550/arxiv.1706.01051 · pith_short_12: TKCP7A2XKDS2 · pith_short_16: TKCP7A2XKDS2GYBP · pith_short_8: TKCP7A2X

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/TKCP7A2XKDS2GYBPIDUJ5KTPSI \
  | 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: 9a84ff835750e5a3602f40e89eaa6f923cb38ceae0ca766e327ca391125cbc14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f47ba76d6949f3c3a4d6d6189b0fe7c7918a3ac85cd397604449f84e61c52e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-04T10:37:33Z",
    "title_canon_sha256": "289b34764e295ffc11ce8172e3fb2240ffbca0af6ef2e690184a1e4a82faaa99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01051",
    "kind": "arxiv",
    "version": 1
  }
}