Pith Number

pith:LYDHN6BG

pith:2020:LYDHN6BGPOWVE25CWB2NA472C3

not attested not anchored not stored refs pending

Gravitational positivity bounds

Junsei Tokuda, Katsuki Aoki, Shin'ichi Hirano

arxiv:2007.15009 v2 · 2020-07-29 · hep-th · 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{LYDHN6BGPOWVE25CWB2NA472C3}

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

7 papers in Pith

A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude

Thermal Positivity

Positivity bounds from thermal field theory entropy

Positivity with Long-Range Interactions

Negative running of gravitational positivity

Receipt and verification

First computed	2026-07-05T01:56:03.451172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e0676f8267bad526ba2b074d073fa16e2860d88b83227f254cff8e3f797ba3e

Aliases

arxiv: 2007.15009 · arxiv_version: 2007.15009v2 · doi: 10.48550/arxiv.2007.15009 · pith_short_12: LYDHN6BGPOWV · pith_short_16: LYDHN6BGPOWVE25C · pith_short_8: LYDHN6BG

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/LYDHN6BGPOWVE25CWB2NA472C3 \
  | 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: 5e0676f8267bad526ba2b074d073fa16e2860d88b83227f254cff8e3f797ba3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c8f36a140b318a9e32c822cf0cb72110d49c6d0e4da89ade64a6698a0df7e4d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-07-29T18:00:01Z",
    "title_canon_sha256": "9b44eec291f442e74cb70540a32f56c69b401a0514f1ab9a027591ea923e5bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.15009",
    "kind": "arxiv",
    "version": 2
  }
}