Pith Number

pith:XU2SWH4C

pith:2019:XU2SWH4CEKNKWGUWNU74HZV5F4

not attested not anchored not stored refs pending

The unique measure of maximal entropy for a compact rank one locally CAT(0) space

Russell Ricks

arxiv:1906.06311 v1 · 2019-06-14 · math.DS · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XU2SWH4CEKNKWGUWNU74HZV5F4}

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	2026-05-17T23:43:19.070083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd352b1f82229aab1a966d3fc3e6bd2f05604804e42225b3fedec793b2f23cf3

Aliases

arxiv: 1906.06311 · arxiv_version: 1906.06311v1 · doi: 10.48550/arxiv.1906.06311 · pith_short_12: XU2SWH4CEKNK · pith_short_16: XU2SWH4CEKNKWGUW · pith_short_8: XU2SWH4C

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/XU2SWH4CEKNKWGUWNU74HZV5F4 \
  | 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: bd352b1f82229aab1a966d3fc3e6bd2f05604804e42225b3fedec793b2f23cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b243102fb2662e7cc994cd31dad6f07d4f9ff26598eff7be53052023744139d9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-14T17:36:50Z",
    "title_canon_sha256": "02403e5d2ffee083d78d02130b8aa58523ecf57faf44e87604b472e82105d77e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06311",
    "kind": "arxiv",
    "version": 1
  }
}