Pith Number

pith:OCO7JE44

pith:2011:OCO7JE44KFJ7B54RYVIFMUMVFH

not attested not anchored not stored refs pending

Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations, II

Charles L. Epstein, Leslie Greengard, Michael O'Neil

arxiv:1105.3217 v1 · 2011-05-16 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCO7JE44KFJ7B54RYVIFMUMVFH}

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	2026-05-18T04:22:00.372432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

709df4939c5153f0f791c55056519529c02088971cc09fe66b1c9fccf2b7ef4d

Aliases

arxiv: 1105.3217 · arxiv_version: 1105.3217v1 · doi: 10.48550/arxiv.1105.3217 · pith_short_12: OCO7JE44KFJ7 · pith_short_16: OCO7JE44KFJ7B54R · pith_short_8: OCO7JE44

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/OCO7JE44KFJ7B54RYVIFMUMVFH \
  | 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: 709df4939c5153f0f791c55056519529c02088971cc09fe66b1c9fccf2b7ef4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1840ff039d3c24b71d79073010a23a5514cd3004cdceceb2e406b27f6eed3a75",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-05-16T20:44:51Z",
    "title_canon_sha256": "4d47d2476131c6ecb1e5ec49283d67ea14d2d360bb1acf195adc0124b0135245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3217",
    "kind": "arxiv",
    "version": 1
  }
}