Pith Number

pith:6GDEZD26

pith:2020:6GDEZD26MOBX6K2UTRBT4DA5IJ

not attested not anchored not stored refs pending

On stability of Friedmann-Lema\^itre-Robertson-Walker solutions in doubled geometries

Andrzej Sitarz, Arkadiusz Bochniak

arxiv:2012.06401 v2 · 2020-12-11 · gr-qc · hep-th · math-ph · math.MP · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GDEZD26MOBX6K2UTRBT4DA5IJ}

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	2026-07-05T03:47:13.844487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1864c8f5e63837f2b549c433e0c1d4252d0b7c8eca4b72bad8d0e595647d8f7

Aliases

arxiv: 2012.06401 · arxiv_version: 2012.06401v2 · doi: 10.48550/arxiv.2012.06401 · pith_short_12: 6GDEZD26MOBX · pith_short_16: 6GDEZD26MOBX6K2U · pith_short_8: 6GDEZD26

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/6GDEZD26MOBX6K2UTRBT4DA5IJ \
  | 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: f1864c8f5e63837f2b549c433e0c1d4252d0b7c8eca4b72bad8d0e595647d8f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fdda6b139558e79f46adc09ac82ab7d4fb71750aba922633ba9b71723855b2f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-11T14:59:42Z",
    "title_canon_sha256": "afcfc5e0d1dc4332b896701871b905d148f8a42fca502b4d0aa1a163bf7f7e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06401",
    "kind": "arxiv",
    "version": 2
  }
}