Pith Number

pith:6UPFKBLH

pith:2021:6UPFKBLHKKULJGROUQXAL73MO5

not attested not anchored not stored refs pending

The double copy of the multipole expansion

Andres Luna, Chris D. White, Erick Chac\'on

arxiv:2108.07702 v1 · 2021-08-17 · hep-th · gr-qc · 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{6UPFKBLHKKULJGROUQXAL73MO5}

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.

Cited by

2 papers in Pith

Non-topological solitons in biadjoint scalar field theory

Hawking Radiation meets the Double Copy

Receipt and verification

First computed	2026-07-05T05:14:08.860463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f51e55056752a8b49a2ea42e05ff6c7751967776691d0e7f141ccf08dce01bed

Aliases

arxiv: 2108.07702 · arxiv_version: 2108.07702v1 · doi: 10.48550/arxiv.2108.07702 · pith_short_12: 6UPFKBLHKKUL · pith_short_16: 6UPFKBLHKKULJGRO · pith_short_8: 6UPFKBLH

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/6UPFKBLHKKULJGROUQXAL73MO5 \
  | 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: f51e55056752a8b49a2ea42e05ff6c7751967776691d0e7f141ccf08dce01bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffe833dca403598eb8113616a10fdb9e84f8af67d4aeeafaca2388eafbd62044",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-08-17T15:47:35Z",
    "title_canon_sha256": "5ae09aa35c18f6574811c79f1b2db3b2973934a5d5bc31aaae1bd0144f50d0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07702",
    "kind": "arxiv",
    "version": 1
  }
}