Pith Number

pith:NJ2CASLL

pith:2016:NJ2CASLL6MGB4V7N4RE3XQ25JB

not attested not anchored not stored refs pending

Faces of simplices of invariant measures for actions of amenable groups

Bartosz Frej, Dawid Huczek

arxiv:1603.03018 v1 · 2016-03-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJ2CASLL6MGB4V7N4RE3XQ25JB}

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	2026-05-18T01:19:19.349643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a7420496bf30c1e57ede449bbc35d48737aa1f2b17b0936c51703c518e68712

Aliases

arxiv: 1603.03018 · arxiv_version: 1603.03018v1 · doi: 10.48550/arxiv.1603.03018 · pith_short_12: NJ2CASLL6MGB · pith_short_16: NJ2CASLL6MGB4V7N · pith_short_8: NJ2CASLL

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/NJ2CASLL6MGB4V7N4RE3XQ25JB \
  | 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: 6a7420496bf30c1e57ede449bbc35d48737aa1f2b17b0936c51703c518e68712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47dd6718a04ec59cdd4510d1494ac9ca84cd98205cd825fbcfd845034c81b35b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-09T20:09:39Z",
    "title_canon_sha256": "d19d38764c9ec9c4a31721ceb244cf3d157e574fc7d0a9ac0deb324ef20f4627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03018",
    "kind": "arxiv",
    "version": 1
  }
}