Pith Number

pith:DCWWW63U

pith:2013:DCWWW63ULFIWMBHROYXSKFQCQ2

not attested not anchored not stored refs pending

Global existence of solutions to the Einstein-massive scalar field equations with a cosmological constant for a perfect fluid on the flat Robertson-Walker space-time

Alexis Nangue

arxiv:1309.0143 v1 · 2013-08-31 · math-ph · gr-qc · 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{DCWWW63ULFIWMBHROYXSKFQCQ2}

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	2026-05-18T03:14:28.732653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ad6b7b7459516604f1762f25160286a7975048b66671f8348e8b4d5dae90d1

Aliases

arxiv: 1309.0143 · arxiv_version: 1309.0143v1 · doi: 10.48550/arxiv.1309.0143 · pith_short_12: DCWWW63ULFIW · pith_short_16: DCWWW63ULFIWMBHR · pith_short_8: DCWWW63U

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/DCWWW63ULFIWMBHROYXSKFQCQ2 \
  | 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: 18ad6b7b7459516604f1762f25160286a7975048b66671f8348e8b4d5dae90d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9724d661fa658a130c3438fcd241167595e25504fba27b70413f5f11806c7ce9",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-31T18:43:09Z",
    "title_canon_sha256": "cb51a26b38f185f6652fd63df9d22157448b37f62691bd22eaba9d7a033194e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0143",
    "kind": "arxiv",
    "version": 1
  }
}