Pith Number

pith:RYE2MGJJ

pith:2026:RYE2MGJJVQOUHX5KC7EDSXO2OI

not attested not anchored not stored refs pending

Decay criteria for asymptotic freedom in plane gravitational waves

Li-Ming Cao, Qi-Liang Zhao

arxiv:2605.29636 v1 · 2026-05-28 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYE2MGJJVQOUHX5KC7EDSXO2OI}

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	2026-05-29T01:05:52.154693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e09a61929ac1d43dfaa17c8395dda7238049f7573982c8bd5cc685d8d4799b3

Aliases

arxiv: 2605.29636 · arxiv_version: 2605.29636v1 · doi: 10.48550/arxiv.2605.29636 · pith_short_12: RYE2MGJJVQOU · pith_short_16: RYE2MGJJVQOUHX5K · pith_short_8: RYE2MGJJ

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/RYE2MGJJVQOUHX5KC7EDSXO2OI \
  | 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: 8e09a61929ac1d43dfaa17c8395dda7238049f7573982c8bd5cc685d8d4799b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86cc2e323c78ca694627dba5b271ed092b449b68417507a3a2c78aadeb2aa21f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-28T09:06:57Z",
    "title_canon_sha256": "5bac1eb14803c4068ef89a890e64d72756d013613f95d4fba3df84eddd59be54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29636",
    "kind": "arxiv",
    "version": 1
  }
}