Pith Number

pith:7YCQBO5B

pith:2019:7YCQBO5BYW2BIEYMFMXU5A65Y2

not attested not anchored not stored refs pending

Isotropization of Slowly Expanding Spacetimes

David Fajman, Gernot Hei{\ss}el, Hamed Barzegar

arxiv:1904.13290 v2 · 2019-04-30 · gr-qc · math-ph · 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{7YCQBO5BYW2BIEYMFMXU5A65Y2}

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	2026-07-05T00:43:33.061295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0500bba1c5b414130c2b2f4e83ddc68b66684ba829d0c7051947329b9797a4

Aliases

arxiv: 1904.13290 · arxiv_version: 1904.13290v2 · doi: 10.48550/arxiv.1904.13290 · pith_short_12: 7YCQBO5BYW2B · pith_short_16: 7YCQBO5BYW2BIEYM · pith_short_8: 7YCQBO5B

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/7YCQBO5BYW2BIEYMFMXU5A65Y2 \
  | 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: fe0500bba1c5b414130c2b2f4e83ddc68b66684ba829d0c7051947329b9797a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea9723c78264bdbe93dd530cf126b0890eb581fe5dd9c471a02362de80346a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-04-30T14:53:50Z",
    "title_canon_sha256": "9adb7df746bdf84cc5df4be52eb7bb3391a5a0a68afd43b08329b2f7b78e5e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.13290",
    "kind": "arxiv",
    "version": 2
  }
}