Pith Number

pith:2C3KPMB4

pith:2012:2C3KPMB4BXUBQNJZGPBUCOOQN2

not attested not anchored not stored refs pending

Weakly regular Einstein-Euler spacetimes with Gowdy symmetry. The global areal foliation

Nastasia Grubic, Philippe G. LeFloch

arxiv:1212.1301 v1 · 2012-12-06 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2C3KPMB4BXUBQNJZGPBUCOOQN2}

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	2026-05-18T01:52:47.034114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b6a7b03c0de818353933c34139d06ea25b61766a6e3a3a1b1f3ba5ae36d2bf

Aliases

arxiv: 1212.1301 · arxiv_version: 1212.1301v1 · doi: 10.48550/arxiv.1212.1301 · pith_short_12: 2C3KPMB4BXUB · pith_short_16: 2C3KPMB4BXUBQNJZ · pith_short_8: 2C3KPMB4

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/2C3KPMB4BXUBQNJZGPBUCOOQN2 \
  | 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: d0b6a7b03c0de818353933c34139d06ea25b61766a6e3a3a1b1f3ba5ae36d2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4c92839d38bfd8c59e0d0fd691ae3df4b7e0b173d030044bbac1bb12d21d78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-06T11:57:06Z",
    "title_canon_sha256": "bfcfde7385f9f6a32b53b51e24565f35f3db09d70285a8552893fa90b56732f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1301",
    "kind": "arxiv",
    "version": 1
  }
}