Pith Number

pith:5KNDBHYN

pith:2022:5KNDBHYNUHVNTLKU7H45MYPGMD

not attested not anchored not stored refs pending

A duality connecting neural network and cosmological dynamics

Michael Spannowsky, Sven Krippendorf

arxiv:2202.11104 v1 · 2022-02-22 · gr-qc · astro-ph.CO · cs.LG · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KNDBHYNUHVNTLKU7H45MYPGMD}

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	2026-07-05T03:59:28.534710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9a309f0da1ead9ad54f9f9d661e660d50e8c44333c2357814af0fb616da3c0

Aliases

arxiv: 2202.11104 · arxiv_version: 2202.11104v1 · doi: 10.48550/arxiv.2202.11104 · pith_short_12: 5KNDBHYNUHVN · pith_short_16: 5KNDBHYNUHVNTLKU · pith_short_8: 5KNDBHYN

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/5KNDBHYNUHVNTLKU7H45MYPGMD \
  | 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: ea9a309f0da1ead9ad54f9f9d661e660d50e8c44333c2357814af0fb616da3c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ff4ad3e81b5492500a2f5d1306d6bdaf5c79302f357ae3220e4609a019724f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "cs.LG",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-02-22T19:00:01Z",
    "title_canon_sha256": "44b64e7dc1ba78dbf8a65220b7cb48501c0ec9a2b0cbf07d80eb2b20f5f767cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.11104",
    "kind": "arxiv",
    "version": 1
  }
}