Pith Number

pith:X4MGRUZL

pith:1999:X4MGRUZLN2U4GZ3BP2RWQP5BJ7

not attested not anchored not stored refs pending

Vacuum Polarization of Massless Spinor Field in Global Monopole Spacetime

E.R. Bezerra de Mello, N.R. Khusnutdinov, V.B. Bezerra

arxiv:gr-qc/9903006 v2 · 1999-03-02 · 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{X4MGRUZLN2U4GZ3BP2RWQP5BJ7}

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	2026-05-18T01:06:44.107416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1868d32b6ea9c367617ea3683fa14febc32644243b5310d8902491722db029

Aliases

arxiv: gr-qc/9903006 · arxiv_version: gr-qc/9903006v2 · doi: 10.48550/arxiv.gr-qc/9903006 · pith_short_12: X4MGRUZLN2U4 · pith_short_16: X4MGRUZLN2U4GZ3B · pith_short_8: X4MGRUZL

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/X4MGRUZLN2U4GZ3BP2RWQP5BJ7 \
  | 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: bf1868d32b6ea9c367617ea3683fa14febc32644243b5310d8902491722db029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4dbff2554a91aa09b96502c52b00822f47995660b8852c59b17815c225cba0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-03-02T09:23:52Z",
    "title_canon_sha256": "e6d796ff06afa74a93df20671b5118c078300c2e870dde054beff6ab3843f1ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9903006",
    "kind": "arxiv",
    "version": 2
  }
}