Pith Number

pith:RLSVTLV3

pith:2020:RLSVTLV3OCQ5GSMKKBAF463LQV

not attested not anchored not stored refs pending

The K-Property for Subadditive Equilibrium States

Benjamin Call, Kiho Park

arxiv:2004.13087 v3 · 2020-04-27 · 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{RLSVTLV3OCQ5GSMKKBAF463LQV}

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	2026-07-05T01:16:33.282760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ae559aebb70a1d3498a50405e7b6b8560595508a03910b0d488892f03604c1f

Aliases

arxiv: 2004.13087 · arxiv_version: 2004.13087v3 · doi: 10.48550/arxiv.2004.13087 · pith_short_12: RLSVTLV3OCQ5 · pith_short_16: RLSVTLV3OCQ5GSMK · pith_short_8: RLSVTLV3

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/RLSVTLV3OCQ5GSMKKBAF463LQV \
  | 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: 8ae559aebb70a1d3498a50405e7b6b8560595508a03910b0d488892f03604c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83af227e434c4a9509fb3cb2850e27586a5ab28e6200d42c72fb427a309a5e80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-04-27T18:42:54Z",
    "title_canon_sha256": "e297b7e2473a4d871f8b14562e1a3bb9c01162cf36314836b56ff721a17b7209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13087",
    "kind": "arxiv",
    "version": 3
  }
}