Pith Number

pith:POSY3NND

pith:2021:POSY3NNDRBQT7QFNFEBHQ5YM6N

not attested not anchored not stored refs pending

Cosmology for high school

Filipe Alves Pereira Bento, Jos\'e A. C. Nogales

arxiv:2108.08692 v1 · 2021-08-19 · physics.ed-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POSY3NNDRBQT7QFNFEBHQ5YM6N}

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	2026-07-05T03:07:12.595073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba58db5a388613fc0ad290278770cf358620485b76b2b4955d38f807000669a

Aliases

arxiv: 2108.08692 · arxiv_version: 2108.08692v1 · doi: 10.48550/arxiv.2108.08692 · pith_short_12: POSY3NNDRBQT · pith_short_16: POSY3NNDRBQT7QFN · pith_short_8: POSY3NND

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/POSY3NNDRBQT7QFNFEBHQ5YM6N \
  | 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: 7ba58db5a388613fc0ad290278770cf358620485b76b2b4955d38f807000669a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6996038d2d1f0cd806749291f77626a7177afb1aab87ff11a34b289e613404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2021-08-19T13:59:40Z",
    "title_canon_sha256": "48e6646952d36e46a04df0377bf5b62c8a336b5ce60fa01a388675a91d670b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08692",
    "kind": "arxiv",
    "version": 1
  }
}