Pith Number

pith:7VXU4GGV

pith:2013:7VXU4GGVTG5AWPCTNGTZ4LE5ST

not attested not anchored not stored refs pending

Fixed points and FLRW cosmologies: Flat case

Adel Awad

arxiv:1303.2014 v2 · 2013-03-08 · 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{7VXU4GGVTG5AWPCTNGTZ4LE5ST}

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	2026-05-18T03:25:45.768057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd6f4e18d599ba0b3c5369a79e2c9d94d950998c3d76138bd6871c03656a9bf7

Aliases

arxiv: 1303.2014 · arxiv_version: 1303.2014v2 · doi: 10.48550/arxiv.1303.2014 · pith_short_12: 7VXU4GGVTG5A · pith_short_16: 7VXU4GGVTG5AWPCT · pith_short_8: 7VXU4GGV

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/7VXU4GGVTG5AWPCTNGTZ4LE5ST \
  | 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: fd6f4e18d599ba0b3c5369a79e2c9d94d950998c3d76138bd6871c03656a9bf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ce28bb16f08c6ed7207acc55a8d50d1549f7b2e3f1e25d2b824dfd8fb15e9d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-03-08T14:55:35Z",
    "title_canon_sha256": "a15fcdad3f561bb812fb948e4542d0fc1fd940b050c34cf548275d2d2af7484e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2014",
    "kind": "arxiv",
    "version": 2
  }
}