Pith Number

pith:MLA2SBA5

pith:2018:MLA2SBA56TFJ5VWF77VEONP6KZ

not attested not anchored not stored refs pending

Asymptotic cones and boundaries of CAT(0) groups

Curtis Kent, Russell Ricks

arxiv:1805.06993 v2 · 2018-05-17 · 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{MLA2SBA56TFJ5VWF77VEONP6KZ}

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	2026-05-18T00:05:56.067627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c1a9041df4ca9ed6c5ffea4735fe567634d2b4d6ee3f9b6d72d9c5a7ba036e

Aliases

arxiv: 1805.06993 · arxiv_version: 1805.06993v2 · doi: 10.48550/arxiv.1805.06993 · pith_short_12: MLA2SBA56TFJ · pith_short_16: MLA2SBA56TFJ5VWF · pith_short_8: MLA2SBA5

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/MLA2SBA56TFJ5VWF77VEONP6KZ \
  | 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: 62c1a9041df4ca9ed6c5ffea4735fe567634d2b4d6ee3f9b6d72d9c5a7ba036e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d03c75a05c6b192935b91787e36197590740a1f4644abf02f43866745af0d62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-17T23:22:16Z",
    "title_canon_sha256": "8b5cf8c44af717913be76e336ca7f7814844d00279a291f4014daaebc696c47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06993",
    "kind": "arxiv",
    "version": 2
  }
}