Pith Number

pith:MLJR7CSH

pith:2012:MLJR7CSHWCSDIR5EMJKGCDRKXT

not attested not anchored not stored refs pending

Partial Data for the Neumann-to-Dirichlet Map

Francis J. Chung

arxiv:1211.0211 v2 · 2012-11-01 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLJR7CSHWCSDIR5EMJKGCDRKXT}

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	2026-05-18T03:09:59.761898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d31f8a47b0a43447a46254610e2abce6db0ab138eef29c8b683cbd4025d328

Aliases

arxiv: 1211.0211 · arxiv_version: 1211.0211v2 · doi: 10.48550/arxiv.1211.0211 · pith_short_12: MLJR7CSHWCSD · pith_short_16: MLJR7CSHWCSDIR5E · pith_short_8: MLJR7CSH

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/MLJR7CSHWCSDIR5EMJKGCDRKXT \
  | 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: 62d31f8a47b0a43447a46254610e2abce6db0ab138eef29c8b683cbd4025d328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67324ea6c4a2d75b30ce430f2079661003a1087b65f85729e82fb18ee82fc0fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-01T15:53:23Z",
    "title_canon_sha256": "cf345d438d88351a08c134cf35c2ad26d807feab7f369484bde1985fa7c6aae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0211",
    "kind": "arxiv",
    "version": 2
  }
}