Pith Number

pith:BP5SGQR6

pith:1995:BP5SGQR6O6UPEIIUPQ3NS4N7KS

not attested not anchored not stored refs pending

Schwinger Equation as Singularly Perturbed Equation

P.A.Saponov, V.E.Rochev

arxiv:hep-th/9502142 v1 · 1995-02-24 · 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{BP5SGQR6O6UPEIIUPQ3NS4N7KS}

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	2026-05-18T01:06:02.937865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bfb23423e77a8f221147c36d971bf5490dcfa85ea680919153bfc713ea67e01

Aliases

arxiv: hep-th/9502142 · arxiv_version: hep-th/9502142v1 · doi: 10.48550/arxiv.hep-th/9502142 · pith_short_12: BP5SGQR6O6UP · pith_short_16: BP5SGQR6O6UPEIIU · pith_short_8: BP5SGQR6

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/BP5SGQR6O6UPEIIUPQ3NS4N7KS \
  | 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: 0bfb23423e77a8f221147c36d971bf5490dcfa85ea680919153bfc713ea67e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6d6724fd158736c73ac09a63fe94344e6366288920e79620e2e0a601d9ac313",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1995-02-24T17:23:31Z",
    "title_canon_sha256": "66424d336c22b0a45a621e197382f8375459dd24109e0a9e021b20bb59ea5b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9502142",
    "kind": "arxiv",
    "version": 1
  }
}