Pith Number

pith:BFFDBRAD

pith:2000:BFFDBRAD7POF5O4CYILLVSGBGN

not attested not anchored not stored refs pending

Einstein--Proca model: spherically symmetric solutions

Eugen J. Vlachynsky, Yuri N. Obukhov

arxiv:gr-qc/0004081 v1 · 2000-04-28 · 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{BFFDBRAD7POF5O4CYILLVSGBGN}

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	2026-05-18T00:34:16.791082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094a30c403fbdc5ebb82c216bac8c13342ef8d83aa1dcbf0b53ac8a508d136b4

Aliases

arxiv: gr-qc/0004081 · arxiv_version: gr-qc/0004081v1 · doi: 10.48550/arxiv.gr-qc/0004081 · pith_short_12: BFFDBRAD7POF · pith_short_16: BFFDBRAD7POF5O4C · pith_short_8: BFFDBRAD

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/BFFDBRAD7POF5O4CYILLVSGBGN \
  | 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: 094a30c403fbdc5ebb82c216bac8c13342ef8d83aa1dcbf0b53ac8a508d136b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd72024f0a0fc50f0be5b448c23895d9080f302bc8477ddec1a30669caeb011",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-04-28T15:46:39Z",
    "title_canon_sha256": "08ca7b350dc0743f0d9066c3ac0dd685d60a7eb63ade2223f023afd00755f44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0004081",
    "kind": "arxiv",
    "version": 1
  }
}