Pith Number

pith:537222HV

pith:2005:537222HVEOXFBVN52HAHVBHFVU

not attested not anchored not stored refs pending

Pair production in inhomogeneous fields

Holger Gies, Klaus Klingmuller (Heidelberg U.)

arxiv:hep-ph/0505099 v2 · 2005-05-12 · 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{537222HVEOXFBVN52HAHVBHFVU}

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

Propagator from Nonperturbative Worldline Dynamics

Receipt and verification

First computed	2026-07-04T16:55:41.240769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeffad68f523ae50d5bdd1c07a84e5ad25b3ad9f455509b2ecfee09efdd650d5

Aliases

arxiv: hep-ph/0505099 · arxiv_version: hep-ph/0505099v2 · doi: 10.48550/arxiv.hep-ph/0505099 · pith_short_12: 537222HVEOXF · pith_short_16: 537222HVEOXFBVN5 · pith_short_8: 537222HV

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/537222HVEOXFBVN52HAHVBHFVU \
  | 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: eeffad68f523ae50d5bdd1c07a84e5ad25b3ad9f455509b2ecfee09efdd650d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b5da82b9162044b678bd80ae7aa7220686d4b9d9cbf57e0948256cf884f43d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-05-12T09:45:24Z",
    "title_canon_sha256": "748d6750ccbf7e4c209a00301aa72474d28389a4143d0ea8f5be22f3985cbd4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0505099",
    "kind": "arxiv",
    "version": 2
  }
}