Pith Number

pith:GFP2GLJM

pith:2015:GFP2GLJM2FP642ZGPT4YMHGM3V

not attested not anchored not stored refs pending

Generalized Gradient Flow Equation and Its Applications

Kengo Kikuchi, Sinya Aoki, Tetsuya Onogi

arxiv:1511.06561 v1 · 2015-11-20 · hep-lat · 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{GFP2GLJM2FP642ZGPT4YMHGM3V}

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	2026-05-18T01:26:24.273678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315fa32d2cd15fee6b267cf9861cccdd66dbce139c0e378dda5dd0b5ddcdcd74

Aliases

arxiv: 1511.06561 · arxiv_version: 1511.06561v1 · doi: 10.48550/arxiv.1511.06561 · pith_short_12: GFP2GLJM2FP6 · pith_short_16: GFP2GLJM2FP642ZG · pith_short_8: GFP2GLJM

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/GFP2GLJM2FP642ZGPT4YMHGM3V \
  | 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: 315fa32d2cd15fee6b267cf9861cccdd66dbce139c0e378dda5dd0b5ddcdcd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "228af82f167f50567382799596230690ae59de799669a8b784f92bb1bcdce1bb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2015-11-20T11:30:01Z",
    "title_canon_sha256": "12c2d2333e89f651dac600e0d1e886e7a8789a61b8e17ee5f97eca72b335973e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06561",
    "kind": "arxiv",
    "version": 1
  }
}