Pith Number

pith:3FC7KTUD

pith:2009:3FC7KTUDSMJECUHL5O3JQ4XFUQ

not attested not anchored not stored refs pending

On the equivalence of semi-classical methods for QED in intense external fields

Anthony Hartin

arxiv:0908.2075 v4 · 2009-08-14 · 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{3FC7KTUDSMJECUHL5O3JQ4XFUQ}

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	2026-05-18T04:00:27.203708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d945f54e8393124150ebebb69872e5a43edc162a15ebb943151722c0b82c8815

Aliases

arxiv: 0908.2075 · arxiv_version: 0908.2075v4 · doi: 10.48550/arxiv.0908.2075 · pith_short_12: 3FC7KTUDSMJE · pith_short_16: 3FC7KTUDSMJECUHL · pith_short_8: 3FC7KTUD

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/3FC7KTUDSMJECUHL5O3JQ4XFUQ \
  | 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: d945f54e8393124150ebebb69872e5a43edc162a15ebb943151722c0b82c8815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12877d8162ba88f3a2213633338dcf488d6593e83eb4ab3d7d740165888e6ac7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-08-14T14:32:28Z",
    "title_canon_sha256": "7e2a00452973d74d5c246dd9f4be38f4a19d76bc0b72d1fc7171f60bdfa4316d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2075",
    "kind": "arxiv",
    "version": 4
  }
}