Pith Number

pith:PLDERXDU

pith:2026:PLDERXDUIW5HJCYXRTQP6AFP55

not attested not anchored not stored refs pending

Vacuum photon emission and mean electromagnetic field in pair-creating external backgrounds

D. V. Chubukov, E. V. Perelygin, I. A. Aleksandrov

arxiv:2606.12547 v1 · 2026-06-10 · hep-th · hep-ph · quant-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{PLDERXDUIW5HJCYXRTQP6AFP55}

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	2026-06-12T00:07:54.238354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac648dc7445ba748b178ce0ff00afef59e0b5d7229c85016239b4ead4c79c11

Aliases

arxiv: 2606.12547 · arxiv_version: 2606.12547v1 · doi: 10.48550/arxiv.2606.12547 · pith_short_12: PLDERXDUIW5H · pith_short_16: PLDERXDUIW5HJCYX · pith_short_8: PLDERXDU

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/PLDERXDUIW5HJCYXRTQP6AFP55 \
  | 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: 7ac648dc7445ba748b178ce0ff00afef59e0b5d7229c85016239b4ead4c79c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b93e2c0c128fb82d1be9a07d4f0d134821d37f4d662813ac340a3f2d78c632d",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-10T18:01:00Z",
    "title_canon_sha256": "1a5c1cdefac3e9d226127bb047be7a7ecfa02c305ba5245d7c9c14413e61ea69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12547",
    "kind": "arxiv",
    "version": 1
  }
}