Pith Number

pith:RXE3O4T6

pith:2015:RXE3O4T653U2FSQKOURULPRCU6

not attested not anchored not stored refs pending

Multipole Expansions of Aggregate Charge: How Far to Go?

Douglas A. Coleman, Lorin S. Matthews, Truell W. Hyde

arxiv:1507.08678 v1 · 2015-07-30 · physics.comp-ph · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXE3O4T653U2FSQKOURULPRCU6}

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	2026-05-18T01:15:52.674269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc9b7727eeee9a2ca0a752345be22a7a21ff79e33fa72ebffacce804248c5ad

Aliases

arxiv: 1507.08678 · arxiv_version: 1507.08678v1 · doi: 10.48550/arxiv.1507.08678 · pith_short_12: RXE3O4T653U2 · pith_short_16: RXE3O4T653U2FSQK · pith_short_8: RXE3O4T6

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/RXE3O4T653U2FSQKOURULPRCU6 \
  | 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: 8dc9b7727eeee9a2ca0a752345be22a7a21ff79e33fa72ebffacce804248c5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e9de654b18fbd480b360ab3263640d8bc6f9b1e5b0fd67fb6042c7d090f164",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2015-07-30T20:39:14Z",
    "title_canon_sha256": "a4e902eff1cefb3bbb7752868d10dbe9613083d73e89518e969dc3683bdf1aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08678",
    "kind": "arxiv",
    "version": 1
  }
}