Pith Number

pith:VBEP2JZR

pith:2014:VBEP2JZRBXIOU7A5NXSTLFL3AZ

not attested not anchored not stored refs pending

Periodic homogenization using the Lippmann--Schwinger formalism

Frederic Legoll, Sebastien Brisard

arxiv:1411.0330 v1 · 2014-11-02 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBEP2JZRBXIOU7A5NXSTLFL3AZ}

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	2026-05-18T02:38:51.986815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a848fd27310dd0ea7c1d6de535957b0654f76961b504b93a3d7fe751a5880232

Aliases

arxiv: 1411.0330 · arxiv_version: 1411.0330v1 · doi: 10.48550/arxiv.1411.0330 · pith_short_12: VBEP2JZRBXIO · pith_short_16: VBEP2JZRBXIOU7A5 · pith_short_8: VBEP2JZR

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/VBEP2JZRBXIOU7A5NXSTLFL3AZ \
  | 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: a848fd27310dd0ea7c1d6de535957b0654f76961b504b93a3d7fe751a5880232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c7dc4af7dfda6decb0bc096faf153564dd2e53ca335b52e91d2f5009350b7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-11-02T22:16:14Z",
    "title_canon_sha256": "1d7888c82db092b63f2e07f019f3ec27b97bc9dd3f21402a8c68c4a21301007d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0330",
    "kind": "arxiv",
    "version": 1
  }
}