pith. sign in
Pith Number

pith:RK7DW2KP

pith:2015:RK7DW2KP6BVRJ64MSBGIKKT6S3
not attested not anchored not stored refs pending

Metrics on Visual Boundaries of CAT(0) Spaces

Molly A. Moran

arxiv:1508.02110 v1 · 2015-08-10 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RK7DW2KP6BVRJ64MSBGIKKT6S3}

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 2026-05-18T01:35:34.189571Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8abe3b694ff06b14fb8c904c852a7e96cb23012ff43bb20dd13fb4e417d24dde

Aliases

arxiv: 1508.02110 · arxiv_version: 1508.02110v1 · doi: 10.48550/arxiv.1508.02110 · pith_short_12: RK7DW2KP6BVR · pith_short_16: RK7DW2KP6BVRJ64M · pith_short_8: RK7DW2KP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RK7DW2KP6BVRJ64MSBGIKKT6S3 \
  | 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: 8abe3b694ff06b14fb8c904c852a7e96cb23012ff43bb20dd13fb4e417d24dde
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bd9ae5cd69f7a3042c11fe76b922e728c00c46ba80a439a965715a13e06fd8f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-10T02:37:34Z",
    "title_canon_sha256": "5c0f049454602e8d2bb7df9009c3b0daf4395e5aeeeddb30da8e5f01677e7884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02110",
    "kind": "arxiv",
    "version": 1
  }
}