Pith Number

pith:NYJ24NWF

pith:2002:NYJ24NWFCZNC4KGV45AMNX4A7O

not attested not anchored not stored refs pending

Vacuum polarization in the spacetime of charged nonlinear black hole

Jerzy Matyjasek, Waldemar Berej

arxiv:gr-qc/0204031 v1 · 2002-04-07 · 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{NYJ24NWFCZNC4KGV45AMNX4A7O}

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	2026-07-04T16:33:43.093918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e13ae36c5165a2e28d5e740c6df80fb93c2e15170715e49b1f3d0029daa3cbf

Aliases

arxiv: gr-qc/0204031 · arxiv_version: gr-qc/0204031v1 · doi: 10.48550/arxiv.gr-qc/0204031 · pith_short_12: NYJ24NWFCZNC · pith_short_16: NYJ24NWFCZNC4KGV · pith_short_8: NYJ24NWF

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/NYJ24NWFCZNC4KGV45AMNX4A7O \
  | 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: 6e13ae36c5165a2e28d5e740c6df80fb93c2e15170715e49b1f3d0029daa3cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aae43c0135358c63e78f5f4a906619cc17bbea4adfb420f32458304b4765724",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-04-07T17:46:22Z",
    "title_canon_sha256": "b4fcbc609fce3d8b9165daf273d1706b8238fcd3c00c722067a5f02dddc6affc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0204031",
    "kind": "arxiv",
    "version": 1
  }
}