Pith Number

pith:MLWJTYIC

pith:2015:MLWJTYICKVHTP5PZMYZEFQCLUC

not attested not anchored not stored refs pending

On spherically symmetric solutions of the Einstein-Euler-de Sitter equations

Tetu Makino

arxiv:1509.02943 v7 · 2015-09-09 · 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{MLWJTYICKVHTP5PZMYZEFQCLUC}

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	2026-05-17T23:43:54.437109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ec99e102554f37f5f9663242c04ba0b508483452888353e00f56be8d7a0b82

Aliases

arxiv: 1509.02943 · arxiv_version: 1509.02943v7 · doi: 10.48550/arxiv.1509.02943 · pith_short_12: MLWJTYICKVHT · pith_short_16: MLWJTYICKVHTP5PZ · pith_short_8: MLWJTYIC

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/MLWJTYICKVHTP5PZMYZEFQCLUC \
  | 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: 62ec99e102554f37f5f9663242c04ba0b508483452888353e00f56be8d7a0b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a74cce50d0b88f5497c8054c9e4f6177286437f5011d34c9d7b94869446c63ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-09T20:35:31Z",
    "title_canon_sha256": "84c56e64db71b1b14cf13f91750ceaa161a732f15fdc6e24f497f285a167a485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02943",
    "kind": "arxiv",
    "version": 7
  }
}