Pith Number

pith:S6H5SOO5

pith:2026:S6H5SOO5KVFRCMKEAYCBBT4BRW

not attested not anchored not stored refs pending

Galactic microlensing by acoustic Schwarzschild black holes

G. F. Akhtaryanova, R. Kh. Karimov, R. N. Izmailov, U. K. Khidirov

arxiv:2606.25565 v1 · 2026-06-24 · 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{S6H5SOO5KVFRCMKEAYCBBT4BRW}

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	2026-06-25T01:18:08.947859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

978fd939dd554b113144060410cf818dbb36ac21439a4faa482549ed4635f060

Aliases

arxiv: 2606.25565 · arxiv_version: 2606.25565v1 · doi: 10.48550/arxiv.2606.25565 · pith_short_12: S6H5SOO5KVFR · pith_short_16: S6H5SOO5KVFRCMKE · pith_short_8: S6H5SOO5

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/S6H5SOO5KVFRCMKEAYCBBT4BRW \
  | 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: 978fd939dd554b113144060410cf818dbb36ac21439a4faa482549ed4635f060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de836314991bb175452369524ca79447e40bfbba9edcfbd4882f5e1d76630b39",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-24T08:40:15Z",
    "title_canon_sha256": "d5101aa1ce8d59c0e845a41fdca715a618593ef24cbc62dc34c6a611d287fb35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25565",
    "kind": "arxiv",
    "version": 1
  }
}