Pith Number

pith:GIKD5JP6

pith:2026:GIKD5JP6TSAV6FPJ5GENVVPEUQ

not attested not anchored not stored refs pending

Numerical polology: towards next-generation model-building for cosmology

Alessandro Santoni, Anthony Lasenby, Carlo Marzo, Leonardo Torcellini, Michael Hobson, Will Barker, Will Handley

arxiv:2606.30785 v1 · 2026-06-29 · astro-ph.CO · gr-qc · 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{GIKD5JP6TSAV6FPJ5GENVVPEUQ}

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	2026-07-01T00:17:16.841244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32143ea5fe9c815f15e9e988dad5e4a4150b49bc0df2767020e39865381ffa22

Aliases

arxiv: 2606.30785 · arxiv_version: 2606.30785v1 · doi: 10.48550/arxiv.2606.30785 · pith_short_12: GIKD5JP6TSAV · pith_short_16: GIKD5JP6TSAV6FPJ · pith_short_8: GIKD5JP6

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/GIKD5JP6TSAV6FPJ5GENVVPEUQ \
  | 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: 32143ea5fe9c815f15e9e988dad5e4a4150b49bc0df2767020e39865381ffa22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04b35527d6ceacd0a4ac96b3297f31eec3b7d5fec9bb156915d42b05f814794",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-29T18:12:29Z",
    "title_canon_sha256": "c8e7feb7e9a67fbb58eb1ce4c90e15710d2a7f156d888b14e865a87861115b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30785",
    "kind": "arxiv",
    "version": 1
  }
}