Pith Number

pith:EC3JDTEQ

pith:2010:EC3JDTEQCV5YNDKQGAERHDO2W2

not attested not anchored not stored refs pending

Cosmic microwave anisotropies in an inhomogeneous compact flat universe

R. Aurich, S. Lustig

arxiv:1009.5880 v2 · 2010-09-29 · 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{EC3JDTEQCV5YNDKQGAERHDO2W2}

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	2026-05-18T02:05:13.603655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b691cc90157b868d503009138ddab68d086931ea7e8132cebd0ca34bd3ed92

Aliases

arxiv: 1009.5880 · arxiv_version: 1009.5880v2 · doi: 10.48550/arxiv.1009.5880 · pith_short_12: EC3JDTEQCV5Y · pith_short_16: EC3JDTEQCV5YNDKQ · pith_short_8: EC3JDTEQ

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/EC3JDTEQCV5YNDKQGAERHDO2W2 \
  | 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: 20b691cc90157b868d503009138ddab68d086931ea7e8132cebd0ca34bd3ed92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2300485555f997d03dd7d6aecccc2fd24db2a77b9df53a00f0808a6caa698fc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-09-29T13:35:10Z",
    "title_canon_sha256": "e39c5fcf9f3f6380ee29376e6f44f154742673babd265ae02b0812cc9f93e7c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5880",
    "kind": "arxiv",
    "version": 2
  }
}