Pith Number

pith:5AEL5ZNM

pith:2010:5AEL5ZNMZIIT2VNFPKYX7FNHAI

not attested not anchored not stored refs pending

Inhomogeneities in dusty universe - a possible alternative to dark energy?

S. Chatterjee

arxiv:1012.1706 v2 · 2010-12-08 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AEL5ZNMZIIT2VNFPKYX7FNHAI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:26:34.475462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e808bee5acca113d55a57ab17f95a7023834be05c7da6fa9f71c821a345c2054

Aliases

arxiv: 1012.1706 · arxiv_version: 1012.1706v2 · doi: 10.48550/arxiv.1012.1706 · pith_short_12: 5AEL5ZNMZIIT · pith_short_16: 5AEL5ZNMZIIT2VNF · pith_short_8: 5AEL5ZNM

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/5AEL5ZNMZIIT2VNFPKYX7FNHAI \
  | 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: e808bee5acca113d55a57ab17f95a7023834be05c7da6fa9f71c821a345c2054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a6c1b01db6c3f6dea1c264a380abc8ef58a7c471a192c35eda8c2c92355c59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-08T08:48:09Z",
    "title_canon_sha256": "1b613865b7205ed3d7a7ade6d9501aa44a525dc323cbee77dd00dbee9013c779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1706",
    "kind": "arxiv",
    "version": 2
  }
}