Pith Number

pith:342G2KTL

pith:2011:342G2KTL755XRFHCLMOC7QY7GS

not attested not anchored not stored refs pending

Non-adiabatic Quantum Vlasov Equation for Schwinger Pair Production

Christian Schubert, Sang Pyo Kim

arxiv:1110.0900 v2 · 2011-10-05 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{342G2KTL755XRFHCLMOC7QY7GS}

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	2026-05-18T04:05:03.569661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df346d2a6bff7b7894e25b1c2fc31f34bc6ebe6cccb91645e2245b1d6ec5a0a0

Aliases

arxiv: 1110.0900 · arxiv_version: 1110.0900v2 · doi: 10.48550/arxiv.1110.0900 · pith_short_12: 342G2KTL755X · pith_short_16: 342G2KTL755XRFHC · pith_short_8: 342G2KTL

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/342G2KTL755XRFHCLMOC7QY7GS \
  | 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: df346d2a6bff7b7894e25b1c2fc31f34bc6ebe6cccb91645e2245b1d6ec5a0a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7a7f5b7b30eb5dcbb1d9e8ff205e092f2f4f5f67662368ac82d8bb1002031bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-05T05:43:48Z",
    "title_canon_sha256": "3eed228316201fcf091b3b8fd2d0348844cbfb4469012997582ea71e502b873d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0900",
    "kind": "arxiv",
    "version": 2
  }
}