Pith Number

pith:R5CDXPQW

pith:2019:R5CDXPQWCR4CGEVUXKSVBFKHKF

not attested not anchored not stored refs pending

Gluon polarization tensor in a magnetized medium: Analytic approach starting from the sum over Landau levels

Alejandro Ayala, Enrique Mu\~noz, Jorge David Casta\~no-Yepes, M. Loewe

arxiv:1912.07136 v3 · 2019-12-15 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5CDXPQWCR4CGEVUXKSVBFKHKF}

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	2026-07-05T00:43:43.905043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f443bbe1614782312b4baa550954751500202230b5f372daa16612f51a3b1fc

Aliases

arxiv: 1912.07136 · arxiv_version: 1912.07136v3 · doi: 10.48550/arxiv.1912.07136 · pith_short_12: R5CDXPQWCR4C · pith_short_16: R5CDXPQWCR4CGEVU · pith_short_8: R5CDXPQW

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/R5CDXPQWCR4CGEVUXKSVBFKHKF \
  | 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: 8f443bbe1614782312b4baa550954751500202230b5f372daa16612f51a3b1fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf8fa419e43be94bcfaa22dbf3b30cc38223f77abe3cb482f2d0e94ff800a14",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-15T23:44:08Z",
    "title_canon_sha256": "63e90b9761277b89724450d7474ddd1ec07f479e61eb1dda9d5b27286b0ab033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07136",
    "kind": "arxiv",
    "version": 3
  }
}