Pith Number

pith:4BBVJAGS

pith:2013:4BBVJAGSGWS2YGAIEB2HQ5KMVJ

not attested not anchored not stored refs pending

Can one observe quantum-gravitational effects in the cosmic microwave background?

Manuel Kraemer

arxiv:1303.1544 v1 · 2013-03-06 · gr-qc · astro-ph.CO · 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{4BBVJAGSGWS2YGAIEB2HQ5KMVJ}

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	2026-05-18T01:14:29.826291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0435480d235a5ac1808207478754caa78a5ce2fc412903de40b428c98f2d8c8

Aliases

arxiv: 1303.1544 · arxiv_version: 1303.1544v1 · doi: 10.48550/arxiv.1303.1544 · pith_short_12: 4BBVJAGSGWS2 · pith_short_16: 4BBVJAGSGWS2YGAI · pith_short_8: 4BBVJAGS

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/4BBVJAGSGWS2YGAIEB2HQ5KMVJ \
  | 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: e0435480d235a5ac1808207478754caa78a5ce2fc412903de40b428c98f2d8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706200100d8d2667abe313d28bb687cc1e015b467a694dd883f924dec02f4319",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-03-06T21:04:44Z",
    "title_canon_sha256": "1749107ccedb8228065d52ae7052c3402c020a57b06a505e61667d45db755017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1544",
    "kind": "arxiv",
    "version": 1
  }
}