Pith Number

pith:7HYS3YQ7

pith:2026:7HYS3YQ7ILRYEFDXKE265VUYPM

not attested not anchored not stored refs pending

Cosmology: 100 years after A. A. Friedmann

A. F. Zakharov

arxiv:2607.11791 v1 · 2026-07-13 · physics.hist-ph · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HYS3YQ7ILRYEFDXKE265VUYPM}

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	2026-07-14T02:22:32.758671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f12de21f42e38214775135eed6987b01dd427fba32704945e9dce74933377b

Aliases

arxiv: 2607.11791 · arxiv_version: 2607.11791v1 · doi: 10.48550/arxiv.2607.11791 · pith_short_12: 7HYS3YQ7ILRY · pith_short_16: 7HYS3YQ7ILRYEFDX · pith_short_8: 7HYS3YQ7

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/7HYS3YQ7ILRYEFDXKE265VUYPM \
  | 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: f9f12de21f42e38214775135eed6987b01dd427fba32704945e9dce74933377b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa8ca159325b4fd5c76af9da1b215f046d7503abe248c2af7e28a3b49de5973",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2026-07-13T16:44:48Z",
    "title_canon_sha256": "a8f968d5090c85ebf0e206cd9b5097c5403886a6cb8a2d987b6e1aef4f61c5a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11791",
    "kind": "arxiv",
    "version": 1
  }
}