Pith Number

pith:T53KARIK

pith:2021:T53KARIKLW4QX2GSIAFAK5Z6UY

not attested not anchored not stored refs pending

Entropy, Black holes, and the New Cyclic Universe

Anna Ijjas, Paul J. Steinhardt

arxiv:2108.07101 v2 · 2021-08-16 · 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{T53KARIKLW4QX2GSIAFAK5Z6UY}

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.

Cited by

2 papers in Pith

Causal Horizons, Geodesic Completeness and Stability in Slow Contraction Cosmology

Assessing observational constraints on dark energy

Receipt and verification

First computed	2026-07-05T04:20:53.449049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f76a0450a5db90be8d2400a05773ea612d5d6ac124004589ad8b13eb58f5674

Aliases

arxiv: 2108.07101 · arxiv_version: 2108.07101v2 · doi: 10.48550/arxiv.2108.07101 · pith_short_12: T53KARIKLW4Q · pith_short_16: T53KARIKLW4QX2GS · pith_short_8: T53KARIK

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/T53KARIKLW4QX2GSIAFAK5Z6UY \
  | 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: 9f76a0450a5db90be8d2400a05773ea612d5d6ac124004589ad8b13eb58f5674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526f0bbfb3a24c8ea4294fd7a54a7cf482f0046864f09eab061778c3b8f4a7ca",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-08-16T14:12:36Z",
    "title_canon_sha256": "d7e5f4de039b8c92bd70d0d6bd0da932dc9164eaf1e683662989222086f65625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07101",
    "kind": "arxiv",
    "version": 2
  }
}