Pith Number

pith:ZJJ2I7QM

pith:2021:ZJJ2I7QMQINACBEI4KUIHE5TA5

not attested not anchored not stored refs pending

Quantization Conditions and the Double Copy

Liangyu Wei, Nathan Moynihan, William T. Emond

arxiv:2109.11531 v2 · 2021-09-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJJ2I7QMQINACBEI4KUIHE5TA5}

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

1 paper in Pith

Hawking Radiation meets the Double Copy

Receipt and verification

First computed	2026-07-05T05:01:15.945902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca53a47e0c821a010488e2a88393b30773690cb1336536741731300089aaa22b

Aliases

arxiv: 2109.11531 · arxiv_version: 2109.11531v2 · doi: 10.48550/arxiv.2109.11531 · pith_short_12: ZJJ2I7QMQINA · pith_short_16: ZJJ2I7QMQINACBEI · pith_short_8: ZJJ2I7QM

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/ZJJ2I7QMQINACBEI4KUIHE5TA5 \
  | 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: ca53a47e0c821a010488e2a88393b30773690cb1336536741731300089aaa22b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67bae0fe82da3d4915691c754e6f2a62655640fd9ab1b1f0d7e90d51e69e57b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-23T17:55:15Z",
    "title_canon_sha256": "047395ef203cbccf45d1b7c73f37f0c1a8eeb0fb0893fabcd2f7d2e8a7a403be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11531",
    "kind": "arxiv",
    "version": 2
  }
}