Pith Number

pith:E4JZFNOM

pith:2011:E4JZFNOMG4W7UX7EK6V3FZNPAC

not attested not anchored not stored refs pending

Local Existence of Solutions of Self Gravitating Relativistic Perfect Fluids

Lavi Karp, Uwe Brauer

arxiv:1112.2405 v2 · 2011-12-11 · math.AP · 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{E4JZFNOMG4W7UX7EK6V3FZNPAC}

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	2026-05-18T03:26:10.456080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271392b5cc372dfa5fe457abb2e5af00bf7400f68d6730166ea3929a18a05d9e

Aliases

arxiv: 1112.2405 · arxiv_version: 1112.2405v2 · doi: 10.48550/arxiv.1112.2405 · pith_short_12: E4JZFNOMG4W7 · pith_short_16: E4JZFNOMG4W7UX7E · pith_short_8: E4JZFNOM

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/E4JZFNOMG4W7UX7EK6V3FZNPAC \
  | 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: 271392b5cc372dfa5fe457abb2e5af00bf7400f68d6730166ea3929a18a05d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8573118f8aec7fdcc030f144f8dc19e431943a00f4e8cc35085bd4895def1c8e",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-11T21:38:18Z",
    "title_canon_sha256": "5218a4d79ec45de8be07ddc7680128456aaa1eca04cb5a976f812e0799a18afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2405",
    "kind": "arxiv",
    "version": 2
  }
}