Pith Number

pith:EBXK2RGT

pith:1993:EBXK2RGT2Q75HLVJD7F4FAUX2J

not attested not anchored not stored refs pending

Some Comments on Multigrid Methods for Computing Propagators

Alan D. Sokal

arxiv:hep-lat/9307020 v1 · 1993-07-28 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBXK2RGT2Q75HLVJD7F4FAUX2J}

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	2026-05-18T04:37:56.665433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

206ead44d3d43fd3aea91fcbc28297d250bcee61a19aa7eb8f6d63383d2bba4f

Aliases

arxiv: hep-lat/9307020 · arxiv_version: hep-lat/9307020v1 · doi: 10.48550/arxiv.hep-lat/9307020 · pith_short_12: EBXK2RGT2Q75 · pith_short_16: EBXK2RGT2Q75HLVJ · pith_short_8: EBXK2RGT

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/EBXK2RGT2Q75HLVJD7F4FAUX2J \
  | 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: 206ead44d3d43fd3aea91fcbc28297d250bcee61a19aa7eb8f6d63383d2bba4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10016fbaaa93c5dc0155e5096924488ceaa8d0485718b563577399c6c558f7e9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1993-07-28T03:55:33Z",
    "title_canon_sha256": "d01944b5d898f85611aee66ee4e0b8bb9cb839933adc4e7fb94fc89ac83ce29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9307020",
    "kind": "arxiv",
    "version": 1
  }
}