Pith Number

pith:AAFLQI6U

pith:2017:AAFLQI6UDSQ36MZ3LZQ6S2EIOB

not attested not anchored not stored refs pending

The median density of the Universe

Jens St\"ucker, Philipp Busch, Simon D. M. White

arxiv:1710.09881 v1 · 2017-10-26 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAFLQI6UDSQ36MZ3LZQ6S2EIOB}

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	2026-05-18T00:18:53.111613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

000ab823d41ca1bf333b5e61e96888704696e14882f2a49954c8b7aaba99e5a8

Aliases

arxiv: 1710.09881 · arxiv_version: 1710.09881v1 · doi: 10.48550/arxiv.1710.09881 · pith_short_12: AAFLQI6UDSQ3 · pith_short_16: AAFLQI6UDSQ36MZ3 · pith_short_8: AAFLQI6U

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/AAFLQI6UDSQ36MZ3LZQ6S2EIOB \
  | 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: 000ab823d41ca1bf333b5e61e96888704696e14882f2a49954c8b7aaba99e5a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f29300da1747cf1556236960bdd79bba21d5eedf466be84d0415445dff6e215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-10-26T19:23:47Z",
    "title_canon_sha256": "5ec5ad2b9f71cc6fd8bfdb30b7e08dea27cab545978b9635622f80cb7b6090b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09881",
    "kind": "arxiv",
    "version": 1
  }
}