Pith Number

pith:CR3IBBS4

pith:2026:CR3IBBS4OELOWGP7Q43TUJJIZ5

not attested not anchored not stored refs pending

Complete Quantum Stress Tensor Inside a Four Dimensional Schwarzschild Black Hole: A Divergent Focusing Source

Jie Jiang, Shun Jiang

arxiv:2607.04386 v1 · 2026-07-05 · gr-qc · 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{CR3IBBS4OELOWGP7Q43TUJJIZ5}

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

1 paper in Pith

Semiclassical Black Hole-White Hole transitions: an analytical treatment

Receipt and verification

First computed	2026-07-07T02:19:16.033938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147680865c7116eb19ff87373a2528cf7d84f95a4562167cd60cc7425e07dbb1

Aliases

arxiv: 2607.04386 · arxiv_version: 2607.04386v1 · doi: 10.48550/arxiv.2607.04386 · pith_short_12: CR3IBBS4OELO · pith_short_16: CR3IBBS4OELOWGP7 · pith_short_8: CR3IBBS4

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/CR3IBBS4OELOWGP7Q43TUJJIZ5 \
  | 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: 147680865c7116eb19ff87373a2528cf7d84f95a4562167cd60cc7425e07dbb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bbde15559b35674e8fb1f765b75c76c88a3d7ce1ce7505d1e1625820488b8ed",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-05T16:29:21Z",
    "title_canon_sha256": "4239ab24b5c03bef97a94d78997f1f9144741d9477cc8aecbcaa83378d2a5735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04386",
    "kind": "arxiv",
    "version": 1
  }
}