Pith Number

pith:QQEE3YAW

pith:2008:QQEE3YAWHDXJJJGFT54Q6RF3QB

not attested not anchored not stored refs pending

Large Number, Dark Matter, Dark Energy, and the Superstructures in the Universe (with Extension)

Wuliang Huang, Xiaodong Huang

arxiv:0804.2680 v9 · 2008-04-16 · astro-ph · hep-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{QQEE3YAWHDXJJJGFT54Q6RF3QB}

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	2026-05-18T01:04:46.666272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84084de01638ee94a4c59f790f44bb804f675cc12d1b8163ca9bd0b8a11812cc

Aliases

arxiv: 0804.2680 · arxiv_version: 0804.2680v9 · doi: 10.48550/arxiv.0804.2680 · pith_short_12: QQEE3YAWHDXJ · pith_short_16: QQEE3YAWHDXJJJGF · pith_short_8: QQEE3YAW

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/QQEE3YAWHDXJJJGFT54Q6RF3QB \
  | 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: 84084de01638ee94a4c59f790f44bb804f675cc12d1b8163ca9bd0b8a11812cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1698fa9f9d17bdad65ad7331c0bf386ea00c4c647f3d4e2fcd4f73adc85e4cf8",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-04-16T20:41:11Z",
    "title_canon_sha256": "6f92532df4f53cc0958daa5e628cb5f0035326f5cfea1bc047d37c2767e4227b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2680",
    "kind": "arxiv",
    "version": 9
  }
}