Pith Number

pith:P4WXRHLM

pith:2021:P4WXRHLMYT7PQLYVBWUQO5HEOD

not attested not anchored not stored refs pending

Noncommutative Effective LQC: inclusion of potential term

Abraham Espinoza-Garc\'ia, J. Socorro, Luis Rey D\'iaz-Barr\'on, S. P\'erez-Pay\'an

arxiv:2104.02859 v1 · 2021-04-07 · 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{P4WXRHLMYT7PQLYVBWUQO5HEOD}

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

Modified Mukhanov-Sasaki equation and primordial perturbations in $\kappa$-deformed non-commutative space-time

Receipt and verification

First computed	2026-07-05T02:57:45.112666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2d789d6cc4fef82f150da90774e470d8b919b0399c995332cdc487344ccc1f

Aliases

arxiv: 2104.02859 · arxiv_version: 2104.02859v1 · doi: 10.48550/arxiv.2104.02859 · pith_short_12: P4WXRHLMYT7P · pith_short_16: P4WXRHLMYT7PQLYV · pith_short_8: P4WXRHLM

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/P4WXRHLMYT7PQLYVBWUQO5HEOD \
  | 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: 7f2d789d6cc4fef82f150da90774e470d8b919b0399c995332cdc487344ccc1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa33069d5fbf03e95f6ea5abfe06d03fbc22e4e35fff6a010ed0905723045cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-07T02:11:45Z",
    "title_canon_sha256": "78958afc43b46f91e7b303955dfdfc81255d7e0987da430b8dfb5bd21f72db9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02859",
    "kind": "arxiv",
    "version": 1
  }
}