Pith Number

pith:KJFWUWRN

pith:2026:KJFWUWRNDJSUCUH3BDZBTUTNKK

not attested not anchored not stored refs pending

Ramp, Plateau, and Wormholes without Averaging, and Hyper-non-perturbative Structures in Gravity

Hong Liu

arxiv:2608.02743 v1 · 2026-08-03 · hep-th · gr-qc · math-ph · math.MP · nlin.CD · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJFWUWRNDJSUCUH3BDZBTUTNKK}

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	2026-08-05T00:39:44.895575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

524b6a5a2d1a654150fb08f219d26d52ab6841f7f33031a13de6900f95fdf44d

Aliases

arxiv: 2608.02743 · arxiv_version: 2608.02743v1 · doi: 10.48550/arxiv.2608.02743 · pith_short_12: KJFWUWRNDJSU · pith_short_16: KJFWUWRNDJSUCUH3 · pith_short_8: KJFWUWRN

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/KJFWUWRNDJSUCUH3BDZBTUTNKK \
  | 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: 524b6a5a2d1a654150fb08f219d26d52ab6841f7f33031a13de6900f95fdf44d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea5876ded947e28746698864ffe2cf2a84aa0d1c0707c1af1208a370463ff96c",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-03T18:00:10Z",
    "title_canon_sha256": "1e16aa1ed63ec924974e7fd26e1069b24a5b6fe11b815fb0f3f22860e031fd0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02743",
    "kind": "arxiv",
    "version": 1
  }
}