Pith Number

pith:T5F4QJNJ

pith:2016:T5F4QJNJGTRVPN7M5XWEWISB54

not attested not anchored not stored refs pending

Fine-tuning challenges for the matter bounce scenario

Aaron M. Levy

arxiv:1611.08972 v1 · 2016-11-28 · gr-qc · astro-ph.CO · hep-ph · 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{T5F4QJNJGTRVPN7M5XWEWISB54}

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	2026-05-18T00:51:12.976386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4bc825a934e357b7ecedec4b2241ef1979aaedc73b7c86a19e8a1645161666

Aliases

arxiv: 1611.08972 · arxiv_version: 1611.08972v1 · doi: 10.48550/arxiv.1611.08972 · pith_short_12: T5F4QJNJGTRV · pith_short_16: T5F4QJNJGTRVPN7M · pith_short_8: T5F4QJNJ

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/T5F4QJNJGTRVPN7M5XWEWISB54 \
  | 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: 9f4bc825a934e357b7ecedec4b2241ef1979aaedc73b7c86a19e8a1645161666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3aa8c987945d7f9cdaf151bbf34389f06ee1d747e46aa73b936396ed6e548c6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-28T03:37:17Z",
    "title_canon_sha256": "893b41101ae2e37da2b45c63aa6318fb06a521d42531a4539a373f6ed1852225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08972",
    "kind": "arxiv",
    "version": 1
  }
}