Pith Number

pith:HBROQJR2

pith:2010:HBROQJR224MKYGYBOMRTNXFCAL

not attested not anchored not stored refs pending

Spherically-symmetric solutions with a chain of n internal Ricci-flat spaces

V.D. Ivashchuk

arxiv:1006.4605 v1 · 2010-06-23 · gr-qc · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBROQJR224MKYGYBOMRTNXFCAL}

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	2026-05-18T04:24:06.260740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3862e8263ad718ac1b01732336dca202e3e2aa1d402136db2baa3640f91ed624

Aliases

arxiv: 1006.4605 · arxiv_version: 1006.4605v1 · doi: 10.48550/arxiv.1006.4605 · pith_short_12: HBROQJR224MK · pith_short_16: HBROQJR224MKYGYB · pith_short_8: HBROQJR2

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/HBROQJR224MKYGYBOMRTNXFCAL \
  | 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: 3862e8263ad718ac1b01732336dca202e3e2aa1d402136db2baa3640f91ed624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dfe80e37c2edec54ebce12463a414116b40a69a50a77825210a4fda77b41b9c",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-23T18:14:38Z",
    "title_canon_sha256": "a290d1aa32793197b6bc2116ee2137ad09287fc8a748c2639696fcaaaa4ddaca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4605",
    "kind": "arxiv",
    "version": 1
  }
}