Pith Number

pith:GOPUZJFH

pith:2022:GOPUZJFHYG3VG5IBQWOKKX7JWT

not attested not anchored not stored refs pending

Subcohomology and a Livsic Theorem for Zooming Systems

Eduardo Santana, Lamine Mbarki

arxiv:2208.13209 v6 · 2022-08-28 · 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{GOPUZJFHYG3VG5IBQWOKKX7JWT}

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	2026-07-05T10:49:01.968959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

339f4ca4a7c1b7537501859ca55fe9b4e8b64161f64943a414a8401ec95be67b

Aliases

arxiv: 2208.13209 · arxiv_version: 2208.13209v6 · doi: 10.48550/arxiv.2208.13209 · pith_short_12: GOPUZJFHYG3V · pith_short_16: GOPUZJFHYG3VG5IB · pith_short_8: GOPUZJFH

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/GOPUZJFHYG3VG5IBQWOKKX7JWT \
  | 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: 339f4ca4a7c1b7537501859ca55fe9b4e8b64161f64943a414a8401ec95be67b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d22c87dea6137ab8fc9f472ce3b89faf971d2a1f49dd9d753f4affc3f31052",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-08-28T12:27:11Z",
    "title_canon_sha256": "6c97cb5e0eced739b2bc347cf0942d47b8e80272bb365269e735a9035da5917d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.13209",
    "kind": "arxiv",
    "version": 6
  }
}