Pith Number

pith:J4PIG45R

pith:2025:J4PIG45RT2V7K7RXETWRERHNOC

not attested not anchored not stored refs pending

Traversable Wormholes in Einstein-Euler-Heisenberg Gravity: Geometry, Energy Conditions, and Gravitational Lensing

Ali \"Ovg\"un, Allah Ditta, Narakorn Kaewkhao, Phongpichit Channuie

arxiv:2503.23065 v2 · 2025-03-29 · 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{J4PIG45RT2V7K7RXETWRERHNOC}

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

Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow

Receipt and verification

First computed	2026-07-05T11:09:10.489769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1e8373b19eabf57e3724ed1244ed70bc41c25856e7f7f2cbf8010e44ca2448

Aliases

arxiv: 2503.23065 · arxiv_version: 2503.23065v2 · doi: 10.48550/arxiv.2503.23065 · pith_short_12: J4PIG45RT2V7 · pith_short_16: J4PIG45RT2V7K7RX · pith_short_8: J4PIG45R

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/J4PIG45RT2V7K7RXETWRERHNOC \
  | 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: 4f1e8373b19eabf57e3724ed1244ed70bc41c25856e7f7f2cbf8010e44ca2448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d6c1ed356793959fcdadc4b5d4f7720d2c73c6638059fa9bc8286ac32091883",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-03-29T12:51:32Z",
    "title_canon_sha256": "7b81a814b638201285e68570df2746180e5d89b5c1c94ca49eebe3eb724be0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.23065",
    "kind": "arxiv",
    "version": 2
  }
}