Pith Number

pith:BBPETOMG

pith:2020:BBPETOMGO7EFCXDVQ7HTT6EPWA

not attested not anchored not stored refs pending

Stable cosmologies with collisionless charged matter

David Fajman, Hamed Barzegar

arxiv:2012.14241 v2 · 2020-12-28 · math-ph · gr-qc · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBPETOMGO7EFCXDVQ7HTT6EPWA}

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	2026-07-05T05:32:42.351577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085e49b98677c8515c7587cf39f88fb0266abf6b0fe3cda59b2cdb08b9667748

Aliases

arxiv: 2012.14241 · arxiv_version: 2012.14241v2 · doi: 10.48550/arxiv.2012.14241 · pith_short_12: BBPETOMGO7EF · pith_short_16: BBPETOMGO7EFCXDV · pith_short_8: BBPETOMG

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/BBPETOMGO7EFCXDVQ7HTT6EPWA \
  | 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: 085e49b98677c8515c7587cf39f88fb0266abf6b0fe3cda59b2cdb08b9667748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85dd6467dd22ea109da88fdee229161d8e94b1a1a34ab56eb777575d1ce54961",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-12-28T14:15:35Z",
    "title_canon_sha256": "cf95ee862fececf62fcc148471e6e06b1ab345fd2713e2ae34dd6151031d4b70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.14241",
    "kind": "arxiv",
    "version": 2
  }
}