Pith Number

pith:KOUQFDYK

pith:2026:KOUQFDYKFKLVXLKVXQJTR4UMYY

not attested not anchored not stored refs pending

Covariant variation and its applications

Jiang Long, Wen-Bin Liu

arxiv:2607.28420 v1 · 2026-07-30 · 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{KOUQFDYKFKLVXLKVXQJTR4UMYY}

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	2026-07-31T01:37:35.284503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

53a9028f0a2a975bad55bc1338f28cc615fd0f4348a4c21e212fdd8647861db8

Aliases

arxiv: 2607.28420 · arxiv_version: 2607.28420v1 · doi: 10.48550/arxiv.2607.28420 · pith_short_12: KOUQFDYKFKLV · pith_short_16: KOUQFDYKFKLVXLKV · pith_short_8: KOUQFDYK

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/KOUQFDYKFKLVXLKVXQJTR4UMYY \
  | 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: 53a9028f0a2a975bad55bc1338f28cc615fd0f4348a4c21e212fdd8647861db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8784e7b4986ac2dc2ada0911af18cd171be5de5e974f88922600886c4b65df56",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-30T16:01:08Z",
    "title_canon_sha256": "b79e90fcc91dafa7b0def6854f699b5257ed16ce48893412e8f9021a1cac0ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28420",
    "kind": "arxiv",
    "version": 1
  }
}