Pith Number

pith:ZBW5CKRI

pith:2015:ZBW5CKRIUBLWBEC2STRAEXNVKL

not attested not anchored not stored refs pending

Cosmological black holes and the direction of time

Daniela P\'erez, Federico G. Lopez Armengol, Gustavo E. Romero

arxiv:1507.04683 v2 · 2015-07-13 · gr-qc · 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{ZBW5CKRIUBLWBEC2STRAEXNVKL}

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	2026-05-18T00:48:33.163775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86dd12a28a05760905a94e2025db552f14c38e1568461b7d685e8fe5feab78b

Aliases

arxiv: 1507.04683 · arxiv_version: 1507.04683v2 · doi: 10.48550/arxiv.1507.04683 · pith_short_12: ZBW5CKRIUBLW · pith_short_16: ZBW5CKRIUBLWBEC2 · pith_short_8: ZBW5CKRI

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/ZBW5CKRIUBLWBEC2STRAEXNVKL \
  | 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: c86dd12a28a05760905a94e2025db552f14c38e1568461b7d685e8fe5feab78b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b27488e368c9e6907dc58c9b68738de2c0623c7e74b118cedf743aaef4ee772",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-13T18:27:55Z",
    "title_canon_sha256": "d203adb5d1a908b08e71cd98bddba62b270029ba362e4f8a075e189b9f3dbb4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04683",
    "kind": "arxiv",
    "version": 2
  }
}