Pith Number

pith:UT5G3ZJW

pith:2010:UT5G3ZJWRANGNWQYHTBOEMLG2Q

not attested not anchored not stored refs pending

Quantum properties of the Dirac field on BTZ black hole backgrounds

Francesco Belgiorno, Francesco Dalla Piazza, Oliver F Piattella, Sergio L Cacciatori

arxiv:1007.4439 v1 · 2010-07-26 · math-ph · gr-qc · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UT5G3ZJWRANGNWQYHTBOEMLG2Q}

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	2026-05-18T04:33:07.116464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4fa6de536881a66da183cc2e23166d4197542d360914cc6f1e801def304ad5d

Aliases

arxiv: 1007.4439 · arxiv_version: 1007.4439v1 · doi: 10.48550/arxiv.1007.4439 · pith_short_12: UT5G3ZJWRANG · pith_short_16: UT5G3ZJWRANGNWQY · pith_short_8: UT5G3ZJW

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/UT5G3ZJWRANGNWQYHTBOEMLG2Q \
  | 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: a4fa6de536881a66da183cc2e23166d4197542d360914cc6f1e801def304ad5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c851bb5e390833f490e666ebdeace2641d6b6a8421ddd86d6f1535a45a6911",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-26T12:42:29Z",
    "title_canon_sha256": "38e0fae50ad46ee5cc4c3f37c7000350444b75ac5581f86448c5a6b9e9d0f43e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4439",
    "kind": "arxiv",
    "version": 1
  }
}