Pith Number

pith:L7LB2X62

pith:2014:L7LB2X62BFAHBRWBR3H7PHFLVV

not attested not anchored not stored refs pending

Planck-Scale Corrections to Friedmann Equation

Adel Awad, Ahmed Farag Ali

arxiv:1403.5319 v1 · 2014-03-20 · gr-qc · 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{L7LB2X62BFAHBRWBR3H7PHFLVV}

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	2026-07-05T09:08:44.116938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd61d5fda094070c6c18ecff79cabad79fd294bbeb1578d0dab7b7da28d5c2e

Aliases

arxiv: 1403.5319 · arxiv_version: 1403.5319v1 · doi: 10.48550/arxiv.1403.5319 · pith_short_12: L7LB2X62BFAH · pith_short_16: L7LB2X62BFAHBRWB · pith_short_8: L7LB2X62

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/L7LB2X62BFAHBRWBR3H7PHFLVV \
  | 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: 5fd61d5fda094070c6c18ecff79cabad79fd294bbeb1578d0dab7b7da28d5c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e5dd0ae51e1118044bee0c290ae7ab142a0066e90458d8cf21804772b8bab6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-03-20T22:35:51Z",
    "title_canon_sha256": "f634254950c2e9bac1545005b876220daf022a2606c1b59eb2f16d882b524ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5319",
    "kind": "arxiv",
    "version": 1
  }
}