Pith Number

pith:3V347LI5

pith:2011:3V347LI5XVM7QEKP35NJ4GXAIO

not attested not anchored not stored refs pending

Adiabatic and non-adiabatic perturbations for loop quantum cosmology

Jian-Yang Zhu, Yu Li

arxiv:1111.3179 v1 · 2011-11-14 · 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{3V347LI5XVM7QEKP35NJ4GXAIO}

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	2026-05-18T01:59:39.253952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd77cfad1dbd59f8114fdf5a9e1ae043a9102495b830c5bbf160f0cce73bc6dd

Aliases

arxiv: 1111.3179 · arxiv_version: 1111.3179v1 · doi: 10.48550/arxiv.1111.3179 · pith_short_12: 3V347LI5XVM7 · pith_short_16: 3V347LI5XVM7QEKP · pith_short_8: 3V347LI5

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/3V347LI5XVM7QEKP35NJ4GXAIO \
  | 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: dd77cfad1dbd59f8114fdf5a9e1ae043a9102495b830c5bbf160f0cce73bc6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "249b00a1f010ecdc7f0f278a1587ccf1a8dea648359ed78717c956470c5f0fa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-14T11:23:40Z",
    "title_canon_sha256": "034443a012c0693d877a05474024c3c5e33237452e1fce193b9875f36e810bba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3179",
    "kind": "arxiv",
    "version": 1
  }
}