Pith Number

pith:YQHPVPTF

pith:2018:YQHPVPTF7OHCPABE7PAF2WGR7W

not attested not anchored not stored refs pending

Detecting product splittings of CAT(0) spaces

Russell Ricks

arxiv:1804.06374 v1 · 2018-04-17 · 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{YQHPVPTF7OHCPABE7PAF2WGR7W}

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	2026-05-18T00:18:10.218174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40efabe65fb8e278024fbc05d58d1fd978f8ce88b29ce20e343277a957d9026

Aliases

arxiv: 1804.06374 · arxiv_version: 1804.06374v1 · doi: 10.48550/arxiv.1804.06374 · pith_short_12: YQHPVPTF7OHC · pith_short_16: YQHPVPTF7OHCPABE · pith_short_8: YQHPVPTF

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/YQHPVPTF7OHCPABE7PAF2WGR7W \
  | 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: c40efabe65fb8e278024fbc05d58d1fd978f8ce88b29ce20e343277a957d9026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89cd799e0b38d571a6ec3768421493d164ca41d6f33fec28f5ccda62726f91ff",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-04-17T17:00:44Z",
    "title_canon_sha256": "afa79d911f387723596412b36c70fb3e49949db7cf688427c6cf9a91bfe97668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06374",
    "kind": "arxiv",
    "version": 1
  }
}