Pith Number

pith:5ZC652VU

pith:2018:5ZC652VUU5NUMVZKBOC7P7K6OX

not attested not anchored not stored refs pending

Representations of groups with CAT(0) fixed point property

Olga Varghese

arxiv:1803.10175 v2 · 2018-03-27 · 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{5ZC652VUU5NUMVZKBOC7P7K6OX}

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	2026-05-18T00:17:59.450435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee45eeeab4a75b46572a0b85f7fd5e75e10875e3f32ccad78eacb1cea74fcc77

Aliases

arxiv: 1803.10175 · arxiv_version: 1803.10175v2 · doi: 10.48550/arxiv.1803.10175 · pith_short_12: 5ZC652VUU5NU · pith_short_16: 5ZC652VUU5NUMVZK · pith_short_8: 5ZC652VU

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/5ZC652VUU5NUMVZKBOC7P7K6OX \
  | 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: ee45eeeab4a75b46572a0b85f7fd5e75e10875e3f32ccad78eacb1cea74fcc77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63a247b78738628cee70d643588c2e5f8242caef40df55c1977bf9a4a6d9645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-27T16:43:28Z",
    "title_canon_sha256": "e9536b570fe54dd49c430d9cb63524a8e2a0b04ec9cfb91a1fa34ed9c6eaafca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10175",
    "kind": "arxiv",
    "version": 2
  }
}