Pith Number

pith:MBKHFJBY

pith:2000:MBKHFJBYFYCDJZ5YCK5STQZ6R6

not attested not anchored not stored refs pending

Gravitating macroscopic media in general relativity

Giovanni Montani (ICRA, Institute of Nuclear Physics, Remo Ruffini (ICRA, Roustam Zalaletdinov (ICRA, Tashkent), Univeristy of Rome, University of Roma), University of Rome)

arxiv:gr-qc/0012080 v1 · 2000-12-20 · 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{MBKHFJBYFYCDJZ5YCK5STQZ6R6}

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	2026-05-18T04:36:19.434596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

605472a4382e0434e7b812bb29c33e8f9d294fbf959706d642a4163f42567f18

Aliases

arxiv: gr-qc/0012080 · arxiv_version: gr-qc/0012080v1 · doi: 10.48550/arxiv.gr-qc/0012080 · pith_short_12: MBKHFJBYFYCD · pith_short_16: MBKHFJBYFYCDJZ5Y · pith_short_8: MBKHFJBY

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/MBKHFJBYFYCDJZ5YCK5STQZ6R6 \
  | 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: 605472a4382e0434e7b812bb29c33e8f9d294fbf959706d642a4163f42567f18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6179c89b2c478bb6dc8f76073cb42e6aea3d09bf6b4290e8da237304f5134fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-20T14:13:43Z",
    "title_canon_sha256": "ff0e8289b500fe8c8aa7f53d13f2a157c51d1e7ccdc84295a7587b57685e89f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012080",
    "kind": "arxiv",
    "version": 1
  }
}