Pith Number

pith:V3Q3TPOX

pith:2016:V3Q3TPOXJVZUD5DSMC5ACGRTGY

not attested not anchored not stored refs pending

The mass function method for obtaining exact solutions of Einstein equations

Elena Kopteva, Maria Korkina

arxiv:1604.08247 v2 · 2016-04-27 · 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{V3Q3TPOXJVZUD5DSMC5ACGRTGY}

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	2026-05-18T01:16:02.244798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee1b9bdd74d7341f47260ba011a3336222a6a6458210192b79d9da606cd03ec

Aliases

arxiv: 1604.08247 · arxiv_version: 1604.08247v2 · doi: 10.48550/arxiv.1604.08247 · pith_short_12: V3Q3TPOXJVZU · pith_short_16: V3Q3TPOXJVZUD5DS · pith_short_8: V3Q3TPOX

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/V3Q3TPOXJVZUD5DSMC5ACGRTGY \
  | 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: aee1b9bdd74d7341f47260ba011a3336222a6a6458210192b79d9da606cd03ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e044fa4497f2b9d25a364038be2b3fb8a16fde674c3a6168d81a7306c98d57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-04-27T21:12:00Z",
    "title_canon_sha256": "041c8b38bb554071f23f3e03353e62a175dab30c0f6b4b860768553e39213040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08247",
    "kind": "arxiv",
    "version": 2
  }
}