Pith Number

pith:PMJPAA2L

pith:2016:PMJPAA2LC3DI7HR4TPCXKXOGFQ

not attested not anchored not stored refs pending

Quantum-gravity phenomenology with primordial black holes

Aurelien Barrau, Boris Bolliet, Celine Weimer, Francesca Vidotto, Marrit Schutten

arxiv:1609.02159 v2 · 2016-09-07 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMJPAA2LC3DI7HR4TPCXKXOGFQ}

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	2026-05-18T00:32:03.036562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b12f0034b16c68f9e3c9bc5755dc62c2afcf40c7211ba12ad68c96bf9db46b8

Aliases

arxiv: 1609.02159 · arxiv_version: 1609.02159v2 · doi: 10.48550/arxiv.1609.02159 · pith_short_12: PMJPAA2LC3DI · pith_short_16: PMJPAA2LC3DI7HR4 · pith_short_8: PMJPAA2L

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/PMJPAA2LC3DI7HR4TPCXKXOGFQ \
  | 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: 7b12f0034b16c68f9e3c9bc5755dc62c2afcf40c7211ba12ad68c96bf9db46b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1902093452753a768dfbeba81f863fa7fecefb806d38f1055f97db431d070b2",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-07T20:00:08Z",
    "title_canon_sha256": "62815000e8621c24b56989cc85edd778466975f5d4d64dac3e3ff168917ef12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02159",
    "kind": "arxiv",
    "version": 2
  }
}