Pith Number

pith:HAFAUJKQ

pith:2021:HAFAUJKQZDXGGOKA5JDVQO2WMZ

not attested not anchored not stored refs pending

Loop quantum gravity and cosmological constant

Gaoping Long, Xiangdong Zhang, Yongge Ma

arxiv:2101.07527 v2 · 2021-01-19 · 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{HAFAUJKQZDXGGOKA5JDVQO2WMZ}

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

1 paper in Pith

Unitary evolution and cosmic acceleration in Loop Quantum Cosmology

Receipt and verification

First computed	2026-07-05T03:30:50.891838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380a0a2550c8ee633940ea47583b5666540ba28d281850ecfdc9950199905f37

Aliases

arxiv: 2101.07527 · arxiv_version: 2101.07527v2 · doi: 10.48550/arxiv.2101.07527 · pith_short_12: HAFAUJKQZDXG · pith_short_16: HAFAUJKQZDXGGOKA · pith_short_8: HAFAUJKQ

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/HAFAUJKQZDXGGOKA5JDVQO2WMZ \
  | 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: 380a0a2550c8ee633940ea47583b5666540ba28d281850ecfdc9950199905f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba300721b2d72a1c032a261b976c38f54b981c27c1d96e2bf1f31692c3c37a0",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-19T09:28:23Z",
    "title_canon_sha256": "9700014bb4d1e761495780e0f0c65db5f4d7025e8ab5c69f2df5f6bf425d65f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.07527",
    "kind": "arxiv",
    "version": 2
  }
}