Pith Number

pith:3LEY6IDU

pith:2021:3LEY6IDUWSLZKLT6AMJM2EHJ3J

not attested not anchored not stored refs pending

High-order QED correction impacts on phase transition of the Euler-Heisenberg AdS black hole

En-Wei Liang, Guan-Ru Li, Sen Guo

arxiv:2111.10812 v5 · 2021-11-21 · hep-th · 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{3LEY6IDUWSLZKLT6AMJM2EHJ3J}

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.

Cited by

1 paper in Pith

Purely Electric, Magnetic, and Dyonic Black Holes in Einstein-Euler-Heisenberg Theory

Receipt and verification

First computed	2026-07-05T04:59:16.600036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac98f2074b497952e7e0312cd10e9da4eb9c5addef3e3437916d100af4f5805

Aliases

arxiv: 2111.10812 · arxiv_version: 2111.10812v5 · doi: 10.48550/arxiv.2111.10812 · pith_short_12: 3LEY6IDUWSLZ · pith_short_16: 3LEY6IDUWSLZKLT6 · pith_short_8: 3LEY6IDU

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/3LEY6IDUWSLZKLT6AMJM2EHJ3J \
  | 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: dac98f2074b497952e7e0312cd10e9da4eb9c5addef3e3437916d100af4f5805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c33b20dedae0fb6e7e9784b7c1224bdac3531ff3e523a31e7a26c60f188a4fe",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-21T13:02:17Z",
    "title_canon_sha256": "c2ea4699e1e7e4204c34e69987a3f73a44602869b9224f3ae8ef84fa6d40c863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.10812",
    "kind": "arxiv",
    "version": 5
  }
}