Pith Number

pith:PJUCRN6W

pith:2015:PJUCRN6WHZIFCLBUOIMHSPFOHS

not attested not anchored not stored refs pending

Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities

Florian Beyer, Philippe G. LeFloch

arxiv:1512.07187 v2 · 2015-12-22 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJUCRN6WHZIFCLBUOIMHSPFOHS}

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	2026-05-18T00:28:32.648057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a6828b7d63e50512c347218793cae3c80166236f5473b6b599565eb9d4eab00

Aliases

arxiv: 1512.07187 · arxiv_version: 1512.07187v2 · doi: 10.48550/arxiv.1512.07187 · pith_short_12: PJUCRN6WHZIF · pith_short_16: PJUCRN6WHZIFCLBU · pith_short_8: PJUCRN6W

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/PJUCRN6WHZIFCLBUOIMHSPFOHS \
  | 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: 7a6828b7d63e50512c347218793cae3c80166236f5473b6b599565eb9d4eab00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07665baca79c007cc4e63e0eb6d808dcbf5c4722db1ff134ee01719faf3aa748",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-22T18:13:49Z",
    "title_canon_sha256": "9da3baa73d0aca5a0abf1d6177bb9759ae1ea5d7b17746a532b37eeade4da6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07187",
    "kind": "arxiv",
    "version": 2
  }
}