Pith Number

pith:WMU6EFO3

pith:2011:WMU6EFO323NW22J7YON6NTXH4D

not attested not anchored not stored refs pending

Optimal Physical Multipoles

Alexey Onufriev, Charles Baker, Ramu Anandakrishnan

arxiv:1112.3376 v1 · 2011-12-14 · physics.class-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{WMU6EFO323NW22J7YON6NTXH4D}

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	2026-05-18T01:59:09.608289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b329e215dbd6db6d693fc39be6cee7e0c0f26c5f7121bfe01cfbe4455a0c183b

Aliases

arxiv: 1112.3376 · arxiv_version: 1112.3376v1 · doi: 10.48550/arxiv.1112.3376 · pith_short_12: WMU6EFO323NW · pith_short_16: WMU6EFO323NW22J7 · pith_short_8: WMU6EFO3

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/WMU6EFO323NW22J7YON6NTXH4D \
  | 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: b329e215dbd6db6d693fc39be6cee7e0c0f26c5f7121bfe01cfbe4455a0c183b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fa7e9cecff4b975867e8e9df3837030b60b90d356cb5f85cc435c1207bf73a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2011-12-14T22:13:13Z",
    "title_canon_sha256": "3ae6c0a96a9cfb5d84c1bcadf2806052aa49a10552a8a15f16e76f74ff8f6190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3376",
    "kind": "arxiv",
    "version": 1
  }
}