Pith Number

pith:4NNIGSRB

pith:2009:4NNIGSRBZIQBED4UL42EOOVVIU

not attested not anchored not stored refs pending

Bipolar Harmonic encoding of CMB correlation patterns

Amir Hajian, Nidhi Joshi, Sanjay Jhingan, Tarun Souradeep

arxiv:0912.3217 v2 · 2009-12-16 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NNIGSRBZIQBED4UL42EOOVVIU}

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	2026-07-04T17:28:15.437012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35a834a21ca20120f945f34473ab5452b13a531a03fba2acc9a5f27613154a9

Aliases

arxiv: 0912.3217 · arxiv_version: 0912.3217v2 · doi: 10.48550/arxiv.0912.3217 · pith_short_12: 4NNIGSRBZIQB · pith_short_16: 4NNIGSRBZIQBED4U · pith_short_8: 4NNIGSRB

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/4NNIGSRBZIQBED4UL42EOOVVIU \
  | 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: e35a834a21ca20120f945f34473ab5452b13a531a03fba2acc9a5f27613154a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ae5a11bffd29ea064cbdbd8432e0f10780b5c97d59b650791c12b2439843a8",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-16T18:12:51Z",
    "title_canon_sha256": "d7e0e417af6fe2d4849f0d9a79910f3e925e7c5f70f12033c2c5da36de3121fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3217",
    "kind": "arxiv",
    "version": 2
  }
}