Pith Number

pith:AJC7WEGD

pith:2015:AJC7WEGD6XGNPECUXBGSKKW3WG

not attested not anchored not stored refs pending

Loop quantum cosmology and the fate of cosmological singularities

Parampreet Singh

arxiv:1509.09182 v1 · 2015-09-30 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJC7WEGD6XGNPECUXBGSKKW3WG}

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	2026-05-18T01:31:26.886975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0245fb10c3f5ccd79054b84d252adbb1a16a82b1214f7178931810a1a328e12b

Aliases

arxiv: 1509.09182 · arxiv_version: 1509.09182v1 · doi: 10.48550/arxiv.1509.09182 · pith_short_12: AJC7WEGD6XGN · pith_short_16: AJC7WEGD6XGNPECU · pith_short_8: AJC7WEGD

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/AJC7WEGD6XGNPECUXBGSKKW3WG \
  | 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: 0245fb10c3f5ccd79054b84d252adbb1a16a82b1214f7178931810a1a328e12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6aabbb4642ada11898195f98b4a36dab66265f0efaa23bfee2cfc86dc4aeb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-30T14:09:54Z",
    "title_canon_sha256": "c6dba7ef5fcf4424abd18f0532a888351b6ff88f6a6df40e12635d1ec931a793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09182",
    "kind": "arxiv",
    "version": 1
  }
}