Pith. sign in
Pith Number

pith:EA3BMLMM

pith:2021:EA3BMLMMEX533BJARUFIYYMP37
not attested not anchored not stored refs pending

The double copy: from optics to quantum gravity

Chris D. White

arxiv:2105.06809 v1 · 2021-05-14 · physics.optics · gr-qc · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EA3BMLMMEX533BJARUFIYYMP37}

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

3 papers in Pith

Receipt and verification
First computed 2026-07-05T03:28:16.537896Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2036162d8c25fbbd85208d0a8c618fdfdb5b1e65a1a558a050c860e50b20bdd9

Aliases

arxiv: 2105.06809 · arxiv_version: 2105.06809v1 · doi: 10.48550/arxiv.2105.06809 · pith_short_12: EA3BMLMMEX53 · pith_short_16: EA3BMLMMEX533BJA · pith_short_8: EA3BMLMM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EA3BMLMMEX533BJARUFIYYMP37 \
  | 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: 2036162d8c25fbbd85208d0a8c618fdfdb5b1e65a1a558a050c860e50b20bdd9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "240dadd5bc09539663b969d9b569f87f017cc8b0cfbf09d39d545e1080bd2f8c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-05-14T13:00:33Z",
    "title_canon_sha256": "d9faf59638cb5bf3bfc773ae640a135208fa1b1855c516eb9b4d030937b3770e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.06809",
    "kind": "arxiv",
    "version": 1
  }
}